From 163ede3009ff67a1c0cc3f7015d6eb622b44b545 Mon Sep 17 00:00:00 2001 From: Boxi Li Date: Tue, 25 May 2021 17:20:34 +0200 Subject: [PATCH] Run qip notebook with qutip 4.6 (#125) * Run notebook with qutip 4.6 * Update examples/teleportation.ipynb Co-authored-by: Nathan Shammah * minor changes, align the points Co-authored-by: Nathan Shammah --- examples/qasm.ipynb | 101 ++--- examples/qip-noisy-device-simulator.ipynb | 121 +++--- examples/qip-optpulseprocessor.ipynb | 129 +++--- examples/qip-processor-DJ-algorithm.ipynb | 77 ++-- examples/quantum-gates.ipynb | 246 +++++------ examples/teleportation.ipynb | 476 +++++----------------- 6 files changed, 422 insertions(+), 728 deletions(-) diff --git a/examples/qasm.ipynb b/examples/qasm.ipynb index 02811d1..b2a507b 100644 --- a/examples/qasm.ipynb +++ b/examples/qasm.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Qasm - Imports and Exports\n", + "# Imports and Exports QASM circuit\n", "\n", "Notebook Author: Sidhant Saraogi(sid1397@gmail.com)" ] @@ -238,23 +238,18 @@ "execution_count": 7, "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Quantum object: dims = [[2, 2], [1, 1]], shape = (4, 1), type = ket\n", - "Qobj data =\n", - "[[0.]\n", - " [0.]\n", - " [1.]\n", - " [0.]]\n", - "1.0\n" - ] - }, { "data": { + "text/latex": [ + "Quantum object: dims = [[2, 2], [1, 1]], shape = (4, 1), type = ket\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0\\\\0.0\\\\1.0\\\\0.0\\\\\\end{array}\\right)\\end{equation*}" + ], "text/plain": [ - "" + "Quantum object: dims = [[2, 2], [1, 1]], shape = (4, 1), type = ket\n", + "Qobj data =\n", + "[[0.]\n", + " [0.]\n", + " [1.]\n", + " [0.]]" ] }, "execution_count": 7, @@ -338,7 +333,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/sid/Documents/qutip_dev/qutip/qutip/qip/qasm.py:684: UserWarning: Information about individual registers is not preserved in QubitCircuit\n", + "e:\\boxi\\onedrive\\studium\\qutip-project\\qutip\\qutip\\qip\\qasm.py:684: UserWarning: Information about individual registers is not preserved in QubitCircuit\n", " warnings.warn((\"Information about individual registers\"\n" ] } @@ -364,34 +359,16 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 14, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", - "Qobj data =\n", - "[[ 0. +0.j ]\n", - " [ 0. +0.j ]\n", - " [-0.47169938+0.23335464j]\n", - " [ 0.72621697-0.44232818j]\n", - " [ 0. +0.j ]\n", - " [ 0. +0.j ]\n", - " [ 0. +0.j ]\n", - " [ 0. +0.j ]]\n", - "0.2499999999999999\n" - ] - } - ], + "outputs": [], "source": [ "state = tensor(rand_ket(2), basis(2, 0), basis(2, 0))\n", "\n", "initial_measurement = Measurement(\"start\", targets=[0])\n", "_, initial_probabilities = initial_measurement.measurement_comp_basis(state)\n", "\n", - "state_final, probability = teleportation.run(state).get_results(0)\n", + "state_final = teleportation.run(state)\n", "\n", "final_measurement = Measurement(\"start\", targets=[2])\n", "_, final_probabilities = final_measurement.measurement_comp_basis(state_final)\n", @@ -409,46 +386,26 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 15, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "QuTiP: Quantum Toolbox in Python\n", - "================================\n", - "Copyright (c) QuTiP team 2011 and later.\n", - "Original developers: R. J. Johansson & P. D. Nation.\n", - "Previous lead developers: Chris Granade & A. Grimsmo.\n", - "Current admin team: Alexander Pitchford, Paul D. Nation, Nathan Shammah, Shahnawaz Ahmed, Neill Lambert, Eric Giguère, and Boxi Li\n", - "Project Manager: Franco Nori.\n", - "Currently developed through wide collaboration. See https://github.com/qutip for details.\n", - "\n", - "QuTiP Version: 4.6.0.dev0+ca5c4e4c\n", - "Numpy Version: 1.19.0\n", - "Scipy Version: 1.5.1\n", - "Cython Version: 0.29.13\n", - "Matplotlib Version: 3.3.0\n", - "Python Version: 3.7.4\n", - "Number of CPUs: 2\n", - "BLAS Info: OPENBLAS\n", - "OPENMP Installed: False\n", - "INTEL MKL Ext: False\n", - "Platform Info: Darwin (x86_64)\n", - "Installation path: /Users/sid/Documents/qutip_dev/qutip/qutip\n", - "==============================================================================\n", - "Please cite QuTiP in your publication.\n", - "==============================================================================\n", - "For your convenience a bibtex reference can be easily generated using `qutip.cite()`\n" - ] + "data": { + "text/html": [ + "
SoftwareVersion
QuTiP4.6.0+c003ff5
Numpy1.20.1
SciPy1.5.3
matplotlib3.3.0
Cython0.29.21
Number of CPUs12
BLAS InfoGeneric
IPython7.16.1
Python3.8.6 | packaged by conda-forge | (default, Oct 7 2020, 18:22:52) [MSC v.1916 64 bit (AMD64)]
OSnt [win32]
Mon Apr 12 19:27:45 2021 W. Europe Daylight Time
" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "import qutip\n", - "\n", - "qutip.about()" + "from qutip.ipynbtools import version_table\n", + "version_table()" ] } ], @@ -468,7 +425,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.4" + "version": "3.8.6" } }, "nbformat": 4, diff --git a/examples/qip-noisy-device-simulator.ipynb b/examples/qip-noisy-device-simulator.ipynb index d913cdb..7b89586 100644 --- a/examples/qip-noisy-device-simulator.ipynb +++ b/examples/qip-noisy-device-simulator.ipynb @@ -12,7 +12,7 @@ "\n", "The simulation of quantum information processing (QIP) is usually achieved by gate matrix product. Many simulators such as the simulation backend of Qiskit and porjectQ are based on it. QuTiP offers this common way of simulation with the class `qutit.qip.QubitCircuit`. It simulates QIP in the circuit model. You can find the introduction notebook for this matrix gate representation [here](quantum-gates.ipynb).\n", "\n", - "The simulation introduced here is different as it simulates the dynamics of the quantum device at the level of driving Hamiltonians. It is closer to the physical realization than the matrix product approach and is more convenient when simulating the noise of physical hardware. The simulator is based on QuTiP Lindbladian equation solvers and is defined as `qutip.qip.device.Processor`. The basic element is the control pulse characterized by the driving Hamiltonian, target qubits, time sequence and pulse strength. Our way of simulation offers a practical way to diagnostically add noise to each pulse or the whole device at the Hamiltonian level. Based on this pulse level control, different backends can be defined for different physical systems such as Cavity QED, Ion trap or Circuit QED. For each backend, a compiler needs to be defined. In the end, the `Processor` will be able to transfer a simple quantum circuit into the control pulse sequence, add noise automatically and perform the noisy simulation.\n", + "The simulation introduced here is different as it simulates the dynamics of the quantum device at the level of driving Hamiltonians. It is closer to the physical realization than the matrix product approach and is more convenient when simulating the noise of physical hardware. The simulator is based on QuTiP Lindbladian equation solvers and is defined as `qutip.qip.device.Processor`. The basic element is the control pulse characterized by the driving Hamiltonian, target qubits, time sequence and pulse strength. This way of simulation offers a practical way to diagnostically add noise to each pulse or the whole device at the Hamiltonian level. Based on this pulse level control, different backends can be defined for different physical systems such as Cavity QED, Ion trap or Circuit QED. For each backend, a compiler needs to be defined. In the end, the `Processor` will be able to compile a simple quantum circuit into the control pulse sequence, noise automatically and perform the noisy simulation.\n", "\n", "This notebook contains the most basic part of this quantum device simulator, i.e. the noisy evolution under given control pulses. It demonstrates how to set up the parameters and introduce different kinds of noise into the evolution.\n", "\n", @@ -22,14 +22,14 @@ "## Links to other related notebook\n", "There is a series of notebooks on specialized subclasses and application of the simulator `Processor`, including finding pulses realizing certain quantum gate based on optimization algorithm or physical model and simulating simple quantum algorithms:\n", "\n", - "The notebook [QuTiP example: Physical implementation of Spin Chain Qubit model](spin-chain-model.ipynb) shows the simulation of a spin-chain based quantum computing model both with `qutit.qip.QubitCircuit` and `qutip.qip.device.Processor`.\n", + "- [QuTiP example: Physical implementation of Spin Chain Qubit model](spin-chain-model.ipynb) shows the simulation of a spin-chain based quantum computing model both with `qutit.qip.QubitCircuit` and `qutip.qip.device.Processor`.\n", "\n", - "The notebook [Examples for OptPulseProcessor](qip-optpulseprocessor.ipynb) describes the class `OptPulseProcessor`, which uses the optimal control module in QuTiP to find the control pulses for quantum gates.\n", + "- [Examples for OptPulseProcessor](qip-optpulseprocessor.ipynb) describes the class `OptPulseProcessor`, which uses the optimal control module in QuTiP to find the control pulses for quantum gates.\n", "\n", - "The notebook [Running the Deutsch–Jozsa algorithm on the noisy device simulator\n", + "- [Running the Deutsch–Jozsa algorithm on the noisy device simulator\n", "](qip-processor-DJ-algorithm.ipynb) gives an example of simulating simple quantum algorithms in the presence of noise.\n", "\n", - "The notebook [Simulating your own quantum device](qip-customize-device.ipynb) provides a step-by-step guide on how to customize the simulator to simulate your own quantum devices." + "- [Simulating your own quantum device](qip-customize-device.ipynb) provides a step-by-step guide on how to customize the simulator to simulate your own quantum devices." ] }, { @@ -50,10 +50,8 @@ "import matplotlib.pyplot as plt\n", "pi = np.pi\n", "\n", + "from qutip import sigmaz, sigmay, sigmax, destroy, basis, fidelity\n", "from qutip.qip.device import Processor\n", - "from qutip.operators import sigmaz, sigmay, sigmax, destroy\n", - "from qutip.states import basis\n", - "from qutip.metrics import fidelity\n", "from qutip.qip.operations import rx, ry, rz, hadamard_transform" ] }, @@ -77,7 +75,7 @@ "metadata": {}, "outputs": [], "source": [ - "processor = Processor(N=1)\n", + "processor = Processor(1)\n", "processor.add_control(0.5 * sigmaz(), targets=0, label=\"sigmaz\")\n", "processor.add_control(0.5 * sigmay(), targets=0, label=\"sigmay\")" ] @@ -245,8 +243,8 @@ "text/plain": [ "Quantum object: dims = [[2], [1]], shape = (2, 1), type = ket\n", "Qobj data =\n", - "[[-0.7071043+0.j ]\n", - " [ 0. +0.70710926j]]" + "[[-0.70710426+0.j ]\n", + " [ 0. +0.7071093j]]" ] }, "execution_count": 7, @@ -274,20 +272,18 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ "tlist = np.linspace(0., 2*np.pi, 20)\n", - "processor = Processor(N=1, spline_kind=\"step_func\")\n", + "processor = Processor(1, spline_kind=\"step_func\")\n", "processor.add_control(sigmaz(), 0)\n", "processor.pulses[0].tlist = tlist\n", "processor.pulses[0].coeff = np.array([np.sin(t) for t in tlist])\n", @@ -301,20 +297,18 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ "tlist = np.linspace(0., 2*np.pi, 20)\n", - "processor = Processor(N=1, spline_kind=\"cubic\")\n", + "processor = Processor(1, spline_kind=\"cubic\")\n", "processor.add_control(sigmaz())\n", "processor.pulses[0].tlist = tlist\n", "processor.pulses[0].coeff = np.array([np.sin(t) for t in tlist])\n", @@ -378,7 +372,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -432,7 +426,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -470,7 +464,7 @@ "outputs": [], "source": [ "from qutip.qip.noise import RandomNoise\n", - "processor = Processor(N=1)\n", + "processor = Processor(1)\n", "processor.add_control(0.5 * sigmaz(), targets=0, label=\"sigmaz\")\n", "processor.add_control(0.5 * sigmay(), targets=0, label=\"sigmay\")\n", "processor.coeffs = np.array([[1., 0., 1.],\n", @@ -500,8 +494,8 @@ "text/plain": [ "Quantum object: dims = [[2], [1]], shape = (2, 1), type = ket\n", "Qobj data =\n", - "[[-0.7071043+0.j ]\n", - " [ 0. +0.70710926j]]" + "[[-0.70710426+0.j ]\n", + " [ 0. +0.7071093j]]" ] }, "execution_count": 16, @@ -522,13 +516,13 @@ { "data": { "text/latex": [ - "Quantum object: dims = [[2], [1]], shape = (2, 1), type = ket\\begin{equation*}\\left(\\begin{array}{*{11}c}(-0.645-0.002j)\\\\(0.120+0.755j)\\\\\\end{array}\\right)\\end{equation*}" + "Quantum object: dims = [[2], [1]], shape = (2, 1), type = ket\\begin{equation*}\\left(\\begin{array}{*{11}c}(-0.643-0.008j)\\\\(0.125+0.756j)\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2], [1]], shape = (2, 1), type = ket\n", "Qobj data =\n", - "[[-0.64493797-0.00204507j]\n", - " [ 0.12023457+0.75471483j]]" + "[[-0.6425244 -0.00777867j]\n", + " [ 0.12499306+0.75596205j]]" ] }, "execution_count": 17, @@ -549,7 +543,7 @@ { "data": { "text/plain": [ - "0.9932265373557044" + "0.9923469223580317" ] }, "execution_count": 18, @@ -575,14 +569,12 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -672,16 +664,16 @@ " [ 0. -0.5]], 'targets': [0], 'tlist': array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. , 1.1, 1.2,\n", " 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. , 2.1, 2.2, 2.3, 2.4, 2.5,\n", " 2.6, 2.7, 2.8, 2.9, 3. , 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8,\n", - " 3.9, 4. , 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7]), 'coeff': array([-0.04111324, -0.06137941, -0.05426716, -0.04919859, -0.04264403,\n", - " -0.02250504, -0.03375665, -0.05148854, -0.02148299, -0.06914471,\n", - " -0.04056917, -0.08183237, -0.07305101, -0.0299176 , -0.01313447,\n", - " -0.07059048, -0.01996858, -0.05178805, -0.04831687, -0.05601915,\n", - " -0.06255294, -0.04576603, -0.06118154, -0.05631155, -0.06109015,\n", - " -0.03506447, -0.03834254, -0.04466844, -0.00812871, -0.08938573,\n", - " -0.02702706, -0.05005737, -0.05355745, -0.01683736, -0.09146077,\n", - " -0.01140311, -0.02461833, -0.06842676, -0.01661333, -0.06730827,\n", - " -0.06145252, -0.04804409, -0.06802508, -0.03654118, -0.04002454,\n", - " -0.01915866, -0.04294549, -0.09000612])}\n", + " 3.9, 4. , 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7]), 'coeff': array([-0.04414902, -0.06463345, -0.06334489, -0.04592345, -0.03056532,\n", + " -0.05885252, -0.00526527, -0.05671077, -0.04962754, -0.04100289,\n", + " -0.05183487, -0.03658129, -0.02133914, -0.07943142, -0.08685056,\n", + " -0.03934981, -0.03547059, -0.00098199, -0.06966305, -0.05027765,\n", + " -0.06402118, -0.03242179, -0.03585578, -0.0539131 , -0.05220861,\n", + " -0.07511409, -0.09652055, -0.03146312, -0.06958527, -0.0600237 ,\n", + " -0.05806735, -0.09518287, -0.06547628, -0.06933595, -0.05619749,\n", + " -0.0333294 , -0.00535637, -0.03640611, -0.03133211, -0.0733429 ,\n", + " -0.03796586, -0.05417718, -0.06457228, -0.04142597, -0.07022016,\n", + " -0.04727365, -0.03677378, -0.06826041])}\n", "----------------------------------------------------------------------\n", "----------------------------------------------------------------------\n", "Pulse label: sigmay\n", @@ -700,16 +692,16 @@ " [0.+0.5j 0.+0.j ]], 'targets': [0], 'tlist': array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. , 1.1, 1.2,\n", " 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. , 2.1, 2.2, 2.3, 2.4, 2.5,\n", " 2.6, 2.7, 2.8, 2.9, 3. , 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8,\n", - " 3.9, 4. , 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7]), 'coeff': array([-0.06078027, -0.05756695, -0.04474645, -0.10254234, -0.06073313,\n", - " -0.04446161, -0.06643672, -0.02880216, -0.04554076, -0.03670151,\n", - " -0.09613619, -0.01831891, -0.04388728, -0.07712125, -0.02209791,\n", - " -0.05018907, -0.03550091, -0.01924158, -0.03945293, -0.02134434,\n", - " -0.04928715, -0.03777599, -0.0269203 , -0.01067214, -0.04945603,\n", - " -0.0600917 , -0.04800358, -0.04740925, -0.03920404, -0.04555261,\n", - " -0.04992821, -0.04579555, -0.05915739, -0.05714142, -0.05466035,\n", - " -0.06307616, -0.03623067, -0.04228734, -0.05886232, -0.06229366,\n", - " -0.0272317 , -0.03896859, -0.06195115, -0.06732644, -0.06956238,\n", - " -0.05670983, -0.05463061, -0.06188376])}\n", + " 3.9, 4. , 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7]), 'coeff': array([-0.05108611, -0.01783074, -0.04629109, -0.03770616, -0.0753106 ,\n", + " -0.07239809, -0.04164928, 0.0054036 , -0.09170704, -0.05117195,\n", + " -0.06431048, -0.05975709, -0.04290283, -0.02527577, -0.07354533,\n", + " -0.04421055, -0.02441497, -0.04670471, -0.07423563, -0.06027195,\n", + " -0.04058379, -0.04831632, -0.08430231, -0.0322311 , -0.05506178,\n", + " -0.02255604, -0.04529898, -0.05617249, -0.0551646 , -0.06422253,\n", + " -0.05446368, -0.05256417, -0.05717885, -0.0651373 , -0.04142402,\n", + " -0.07100507, -0.05664856, -0.07501997, -0.03518477, -0.04932506,\n", + " -0.04626333, -0.0580769 , -0.0259806 , -0.05369517, -0.04611537,\n", + " -0.07307398, -0.036422 , 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ - "The figures below help one understanding the workflow inside the simulator. The first figure shows how the noise is processed in the circuit processor. The noise is defined separately in a class object. When called, it takes parameters and the unitary noiseless `qutip.QobjEvo` from the processor, generates the noisy version and sends the noisy `qutip.QobjEvo` together with the collapse operators to the processor.\n", - "\n", - "![processor-workflow.png](attachment:processor-workflow.png)\n", - "\n", - "When calculating the evolution, the processor first creates its own `qutip.QobjEvo` of the noiseless evolution. It will then find all the noise objects saved in the attributes `qutip.qip.device.Processor.noise` and call the corresponding methods to get the `qutip.QobjEvo` and a list of collapse operators representing the noise. (For collapse operators, we don't want to add all the constant collapse into one time-independent operator, so we use a list). The processor then combines its own `qutip.QobjEvo` with those from the noise objects and give them to the solver. The figure below shows how the noiseless part and the noisy part are combined.\n", + "![workflow.png](attachment:workflow.png)\n", "\n", - "![processor-noise.png](attachment:processor-noise.png)" + "The figure above illustrates the workflow of the simulator. Each colour represents a separate module: orange the quantum device, green the noise, blue the compiler and grey the main QuTiP module. The simulator is defined in a class object \\texttt{Processor}, containing information of the quantum device. The compiler loads the circuit and compiles it into the ideal control pulse through the method `load_circuit`. When one runs the simulation with `run_state`, the noise class objects create noisy dynamical elements such as noisy Hamiltonian terms as well as Lindblad operator. The former describes the coherent noise while the later decoherence like dephasing. The generate Haimltoian representation is then converted to a `qutip.QobjEvo` representation and sent to the qutip solvers." ] }, { @@ -799,7 +784,7 @@ { "data": { "text/html": [ - "
SoftwareVersion
QuTiP4.5.0.dev0+4ad874f6
Numpy1.17.5
SciPy1.2.1
matplotlib2.2.4
Cython0.29.14
Number of CPUs12
BLAS InfoGeneric
IPython7.11.1
Python3.6.7 (default, Dec 6 2019, 07:03:06) [MSC v.1900 64 bit (AMD64)]
OSnt [win32]
Tue Jan 28 22:01:08 2020 W. Europe Standard Time
" + "
SoftwareVersion
QuTiP4.6.0+c003ff5
Numpy1.20.1
SciPy1.5.3
matplotlib3.3.0
Cython0.29.21
Number of CPUs12
BLAS InfoGeneric
IPython7.16.1
Python3.8.6 | packaged by conda-forge | (default, Oct 7 2020, 18:22:52) [MSC v.1916 64 bit (AMD64)]
OSnt [win32]
Mon Apr 12 19:11:36 2021 W. Europe Daylight Time
" ], "text/plain": [ "" diff --git a/examples/qip-optpulseprocessor.ipynb b/examples/qip-optpulseprocessor.ipynb index 736a235..5a65534 100644 --- a/examples/qip-optpulseprocessor.ipynb +++ b/examples/qip-optpulseprocessor.ipynb @@ -21,13 +21,10 @@ "outputs": [], "source": [ "from numpy import pi\n", + "from qutip import sigmaz, sigmax, identity, basis, fidelity, tensor\n", "from qutip.qip.device import OptPulseProcessor\n", "from qutip.qip.circuit import QubitCircuit\n", - "from qutip.qip.operations import expand_operator, toffoli\n", - "from qutip.operators import sigmaz, sigmax, identity\n", - "from qutip.states import basis\n", - "from qutip.metrics import fidelity\n", - "from qutip.tensor import tensor" + "from qutip.qip.operations import expand_operator, toffoli" ] }, { @@ -46,12 +43,12 @@ "metadata": {}, "outputs": [], "source": [ - "N = 1\n", + "num_qubits = 1\n", "# Drift Hamiltonian\n", "H_d = sigmaz()\n", "# The (single) control Hamiltonian\n", "H_c = sigmax()\n", - "processor = OptPulseProcessor(N, drift=H_d)\n", + "processor = OptPulseProcessor(num_qubits, drift=H_d)\n", "processor.add_control(H_c, 0)" ] }, @@ -72,27 +69,25 @@ "output_type": "stream", "text": [ "********** Gate 0 **********\n", - "Final fidelity error 1.8354207043103088e-12\n", - "Final gradient normal 7.008683091402896e-06\n", + "Final fidelity error 5.985190121293726e-11\n", + "Final gradient normal 4.771031832325706e-06\n", "Terminated due to Goal achieved\n", - "Number of iterations 11\n" + "Number of iterations 10\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "
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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ - "qc = QubitCircuit(N)\n", + "qc = QubitCircuit(num_qubits)\n", "qc.add_gate(\"SNOT\", 0)\n", "\n", "# This method calls optimize_pulse_unitary\n", @@ -117,8 +112,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity: 1.0000000091239887\n", - "Fidelity with qubit relaxation: 0.9933829535921846\n" + "Fidelity: 1.0000000116405892\n", + "Fidelity with qubit relaxation: 0.9933716638528144\n" ] } ], @@ -215,8 +210,8 @@ "outputs": [], "source": [ "sxsx = tensor([sigmax(),sigmax()])\n", - "sxsx01 = expand_operator(sxsx, N=3, targets=[0,1])\n", - "sxsx12 = expand_operator(sxsx, N=3, targets=[1,2])\n", + "sxsx01 = expand_operator(sxsx, 3, targets=[0,1])\n", + "sxsx12 = expand_operator(sxsx, 3, targets=[1,2])\n", "test_processor.add_control(sxsx01)\n", "test_processor.add_control(sxsx12)" ] @@ -225,35 +220,52 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Use the above defined control Hamiltonians, we now find the optimal pulse for the Toffoli gate with 6 time slots. Instead of a `QubitCircuit`, a list of operators can also be given as an input. Different color in the figure represents different control pulses." + "Use the above defined control Hamiltonians, we now find the optimal pulse for the Toffoli gate with 6 time slots. Instead of a `QubitCircuit`, a list of operators can also be given as an input." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, + "outputs": [], + "source": [ + "def get_operators_labels():\n", + " \"\"\"\n", + " Get the labels for each Hamiltonian.\n", + " It is used in the method``plot_pulses``.\n", + " It is a 2-d nested list, in the plot,\n", + " a different color will be used for each sublist.\n", + " \"\"\"\n", + " return ([[r\"$\\sigma_z^%d$\" % n for n in range(test_processor.num_qubits)],\n", + " [r\"$\\sigma_x^%d$\" % n for n in range(test_processor.num_qubits)],\n", + " [r\"$g_01$\", r\"$g_12$\" ]])\n", + "test_processor.get_operators_labels = get_operators_labels" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "********** Gate 0 **********\n", - "Final fidelity error 9.059457628524115e-09\n", - "Final gradient normal 7.129081863029585e-06\n", + "Final fidelity error 2.8325517487104435e-09\n", + "Final gradient normal 1.2676256076357898e-05\n", "Terminated due to function converged\n", - "Number of iterations 411\n" + "Number of iterations 308\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "
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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -273,11 +285,11 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ - "qc = QubitCircuit(N=3)\n", + "qc = QubitCircuit(3)\n", "qc.add_gate(\"CNOT\", controls=0, targets=2)\n", "qc.add_gate(\"RX\", targets=2, arg_value=pi/4)\n", "qc.add_gate(\"RY\", targets=1, arg_value=pi/8)" @@ -285,7 +297,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -293,27 +305,27 @@ "output_type": "stream", "text": [ "********** Gate 0 **********\n", - "Final fidelity error 4.28661268259134e-07\n", - "Final gradient normal 3.405942874910201e-05\n", + "Final fidelity error 1.190168785747403e-07\n", + "Final gradient normal 6.91792655328398e-05\n", "Terminated due to function converged\n", - "Number of iterations 333\n", + "Number of iterations 321\n", "********** Gate 1 **********\n", - "Final fidelity error 3.6107228318371654e-11\n", - "Final gradient normal 8.908319741699391e-05\n", + "Final fidelity error 4.6480708171259266e-11\n", + "Final gradient normal 6.361489497956037e-05\n", "Terminated due to Goal achieved\n", - "Number of iterations 8\n", + "Number of iterations 10\n", "********** Gate 2 **********\n", - "Final fidelity error 9.031497771871955e-11\n", - "Final gradient normal 9.668357380976488e-06\n", - "Terminated due to Goal achieved\n", - "Number of iterations 19\n" + "Final fidelity error 7.533808021875643e-10\n", + "Final gradient normal 3.6275814575140014e-06\n", + "Terminated due to function converged\n", + "Number of iterations 20\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "
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" ] }, "metadata": { @@ -328,7 +340,8 @@ " \"RY\": {\"num_tslots\": 2, \"evo_time\": 1}}\n", "\n", "test_processor.load_circuit(qc, merge_gates=False, setting_args=setting_args, verbose=True);\n", - "test_processor.plot_pulses(title=\"Control pulse for a each gate in the circuit\");" + "fig, axes = test_processor.plot_pulses(title=\"Control pulse for a each gate in the circuit\", show_axis=True);\n", + "axes[-1].set_xlabel(\"time\");" ] }, { @@ -340,7 +353,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -348,27 +361,25 @@ "output_type": "stream", "text": [ "********** Gate 0 **********\n", - "Final fidelity error 1.3017973895523838e-06\n", - "Final gradient normal 0.00010187902190794495\n", + "Final fidelity error 5.074568572016602e-07\n", + "Final gradient normal 3.0726426440060723e-05\n", "Terminated due to function converged\n", - "Number of iterations 291\n" + "Number of iterations 282\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ - "qc = QubitCircuit(N=3)\n", + "qc = QubitCircuit(3)\n", "qc.add_gate(\"CNOT\", controls=0, targets=2)\n", "qc.add_gate(\"RX\", targets=2, arg_value=pi/4)\n", "qc.add_gate(\"RY\", targets=1, arg_value=pi/8)\n", @@ -385,19 +396,19 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ - "
SoftwareVersion
QuTiP4.5.0.dev0+4ad874f6
Numpy1.17.5
SciPy1.2.1
matplotlib2.2.4
Cython0.29.14
Number of CPUs12
BLAS InfoGeneric
IPython7.11.1
Python3.6.7 (default, Dec 6 2019, 07:03:06) [MSC v.1900 64 bit (AMD64)]
OSnt [win32]
Tue Jan 28 23:28:50 2020 W. Europe Standard Time
" + "
SoftwareVersion
QuTiP4.6.0+c003ff5
Numpy1.20.1
SciPy1.5.3
matplotlib3.3.0
Cython0.29.21
Number of CPUs12
BLAS InfoGeneric
IPython7.16.1
Python3.8.6 | packaged by conda-forge | (default, Oct 7 2020, 18:22:52) [MSC v.1916 64 bit (AMD64)]
OSnt [win32]
Mon Apr 12 19:25:34 2021 W. Europe Daylight Time
" ], "text/plain": [ "" ] }, - "execution_count": 12, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -424,7 +435,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.7" + "version": "3.8.6" } }, "nbformat": 4, diff --git a/examples/qip-processor-DJ-algorithm.ipynb b/examples/qip-processor-DJ-algorithm.ipynb index 70a1a35..11c0b93 100644 --- a/examples/qip-processor-DJ-algorithm.ipynb +++ b/examples/qip-processor-DJ-algorithm.ipynb @@ -38,10 +38,7 @@ "import numpy as np\n", "from qutip.qip.device import OptPulseProcessor, LinearSpinChain\n", "from qutip.qip.circuit import QubitCircuit\n", - "from qutip.operators import sigmaz, sigmax, identity\n", - "from qutip.tensor import tensor\n", - "from qutip.states import basis\n", - "from qutip.qobj import ptrace\n", + "from qutip import sigmaz, sigmax, identity, tensor, basis, ptrace\n", "basis00 = tensor([basis(2,0), basis(2,0)])" ] }, @@ -82,38 +79,38 @@ "output_type": "stream", "text": [ "********** Gate 0 **********\n", - "Final fidelity error 1.9392365491199826e-10\n", - "Final gradient normal 7.815011344686465e-06\n", + "Final fidelity error 3.6451530682768407e-10\n", + "Final gradient normal 9.53725296486059e-06\n", "Terminated due to function converged\n", - "Number of iterations 15\n", + "Number of iterations 18\n", "********** Gate 1 **********\n", - "Final fidelity error 6.092241155997158e-10\n", - "Final gradient normal 1.2203284511145281e-05\n", + "Final fidelity error 1.0518405035853107e-09\n", + "Final gradient normal 1.920199999957469e-05\n", "Terminated due to function converged\n", - "Number of iterations 16\n", + "Number of iterations 17\n", "********** Gate 2 **********\n", - "Final fidelity error 4.0477787788262276e-10\n", - "Final gradient normal 1.2685480550581627e-05\n", - "Terminated due to function converged\n", - "Number of iterations 19\n", + "Final fidelity error 1.9734214262712158e-12\n", + "Final gradient normal 5.2600567793809055e-06\n", + "Terminated due to Goal achieved\n", + "Number of iterations 14\n", "********** Gate 3 **********\n", - "Final fidelity error 1.254523354754511e-06\n", - "Final gradient normal 0.00021647097373448686\n", + "Final fidelity error 5.292202648998767e-06\n", + "Final gradient normal 0.0008412511079035319\n", "Terminated due to function converged\n", - "Number of iterations 139\n", + "Number of iterations 51\n", "********** Gate 4 **********\n", - "Final fidelity error 2.349601027262782e-05\n", - "Final gradient normal 0.003121190621829365\n", + "Final fidelity error 1.3436790680110278e-08\n", + "Final gradient normal 3.199467495118891e-05\n", "Terminated due to function converged\n", - "Number of iterations 36\n", + "Number of iterations 77\n", "********** Gate 5 **********\n", - "Final fidelity error 2.9691660241581985e-10\n", - "Final gradient normal 1.0759808980245661e-05\n", - "Terminated due to function converged\n", - "Number of iterations 16\n", + "Final fidelity error 9.313494420126744e-11\n", + "Final gradient normal 1.9911063312810797e-05\n", + "Terminated due to Goal achieved\n", + "Number of iterations 19\n", "********** Gate 6 **********\n", - "Final fidelity error 2.81108802901997e-10\n", - "Final gradient normal 9.019307538532246e-06\n", + "Final fidelity error 3.9419789654715487e-10\n", + "Final gradient normal 1.191802825122867e-05\n", "Terminated due to function converged\n", "Number of iterations 16\n" ] @@ -145,14 +142,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -178,7 +173,7 @@ "output_type": "stream", "text": [ "Probability of measuring state 00:\n", - "7.686362456299262e-07\n" + "3.0836764469919137e-07\n" ] } ], @@ -206,7 +201,7 @@ "output_type": "stream", "text": [ "Probability of measuring state 00:\n", - "0.09532818184024891\n" + "0.08445690437996706\n" ] } ], @@ -254,14 +249,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -293,7 +286,7 @@ "output_type": "stream", "text": [ "Probability of measuring state 00:\n", - "1.8002112771931593e-09\n" + "5.118049843492199e-08\n" ] } ], @@ -321,7 +314,7 @@ "output_type": "stream", "text": [ "Probability of measuring state 00:\n", - "0.1661582845316164\n" + "0.13931341308865142\n" ] } ], @@ -342,7 +335,7 @@ { "data": { "text/html": [ - "
SoftwareVersion
QuTiP4.5.0.dev0+4ad874f6
Numpy1.17.5
SciPy1.2.1
matplotlib2.2.4
Cython0.29.14
Number of CPUs12
BLAS InfoGeneric
IPython7.11.1
Python3.6.7 (default, Dec 6 2019, 07:03:06) [MSC v.1900 64 bit (AMD64)]
OSnt [win32]
Tue Jan 28 23:31:08 2020 W. Europe Standard Time
" + "
SoftwareVersion
QuTiP4.6.0+c003ff5
Numpy1.20.1
SciPy1.5.3
matplotlib3.3.0
Cython0.29.21
Number of CPUs12
BLAS InfoGeneric
IPython7.16.1
Python3.8.6 | packaged by conda-forge | (default, Oct 7 2020, 18:22:52) [MSC v.1916 64 bit (AMD64)]
OSnt [win32]
Mon Apr 12 19:15:14 2021 W. Europe Daylight Time
" ], "text/plain": [ "" @@ -375,7 +368,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.7" + "version": "3.8.6" } }, "nbformat": 4, diff --git a/examples/quantum-gates.ipynb b/examples/quantum-gates.ipynb index a390d70..4669d78 100644 --- a/examples/quantum-gates.ipynb +++ b/examples/quantum-gates.ipynb @@ -129,7 +129,7 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ "" ] @@ -241,7 +241,7 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ "" ] @@ -297,7 +297,7 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ "" ] @@ -355,7 +355,7 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": 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"text/plain": [ "" ] @@ -413,7 +413,7 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": 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"text/plain": [ "" ] @@ -475,7 +475,7 @@ "outputs": [ { "data": { - "image/png": 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gSUNDIFByb2ZpbGUTDAGGAAAAE3RFWHRwZGY6VmVyc2lvbgBQREYtMS41UzZawQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] @@ -622,16 +622,9 @@ "outputs": [ { "data": { - "text/latex": [ - "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}1.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 1.0 & 0.0\\\\0.0 & 1.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}" - ], + "image/png": "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\n", "text/plain": [ - "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = True\n", - "Qobj data =\n", - "[[1. 0. 0. 0.]\n", - " [0. 0. 1. 0.]\n", - " [0. 1. 0. 0.]\n", - " [0. 0. 0. 1.]]" + "" ] }, "execution_count": 22, @@ -640,7 +633,10 @@ } ], "source": [ - "swap()" + "swap()\n", + "q = QubitCircuit(2, reverse_states=False)\n", + "q.add_gate(\"SWAP\", targets=[0, 1])\n", + "q.png" ] }, { @@ -657,16 +653,9 @@ "outputs": [ { "data": { - "text/latex": [ - "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}1.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 1.0j & 0.0\\\\0.0 & 1.0j & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}" - ], + "image/png": "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\n", "text/plain": [ - "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\n", - "Qobj data =\n", - "[[1.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", - " [0.+0.j 0.+0.j 0.+1.j 0.+0.j]\n", - " [0.+0.j 0.+1.j 0.+0.j 0.+0.j]\n", - " [0.+0.j 0.+0.j 0.+0.j 1.+0.j]]" + "" ] }, "execution_count": 23, @@ -675,7 +664,10 @@ } ], "source": [ - "iswap()" + "iswap()\n", + "q = QubitCircuit(2, reverse_states=False)\n", + "q.add_gate(\"ISWAP\", targets=[0, 1])\n", + "q.png" ] }, { @@ -1009,7 +1001,7 @@ "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFwAAABeCAQAAAAELrvYAAAAAmJLR0QA/4ePzL8AAAAJcEhZcwAAAGQAAABkAA+Wxd0AAAAHdElNRQfkAwILHSUUlRbVAAABk0lEQVR42u3bsU3DUBDG8f8xAJLT0gWJHkLBAMkIXsGMEEYII4QRnBFMwQCR6JEc0VAhxRI10lHEMQKlQu/Ei/R9LnxyYf8U3bvmvRhLxsTkjLegN+Mz86h3B+fkvwGCH0sEF1zwTCO44IJnGsEFFzzTCC644JlGcMEFzzSCCy54phFccMH/FCtta26tTaLgIduFVtBSALDx8yB4yAbtiKuhfuIzPTtog9YKtn3Z+SjgAwT1uHfc7tj9PSBhW+JW8MjUuyh42Dj0jm0cW3NccMGzjeCCC55pBBdc8EwjuOCCZxrBBRc80wguuOCZRnDBBc80gv+MTW3BjS1sekRwG1tDxYZXNlTWWMxfiz3xRUFL6Tg0jkNJS5H6Kx4Ar5n3VdPfq32VMZwx66EeuKwZp4an7vEpjweeriiTr6TExz6u+eClry957qsLTlmnZPssdauULA+0ymK3XDPuced7hgyLs4iYK+nn+APLX0/mrNKfo0gO93s6q213IgsrrGbid8l/nvSt4jhUtNS8U9Pup3rq6wvPZ085vQyFeQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0wMy0wMlQxMToyOTozNyswMTowMD8eMcgAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMDMtMDJUMTE6Mjk6MzcrMDE6MDBOQ4l0AAAAFHRFWHRwZGY6VmVyc2lvbgBQREYtMS41IAVcCzkAAAAASUVORK5CYII=\n", + "image/png": 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"text/plain": [ "" ] @@ -1071,7 +1063,7 @@ "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFwAAABeCAQAAAAELrvYAAAAAmJLR0QA/4ePzL8AAAAJcEhZcwAAAGQAAABkAA+Wxd0AAAAHdElNRQfkAwILHSkdI1r+AAABpUlEQVR42u3cMUoDQRTG8f8TSxXWzkpIYS+xyAE2lXVay3gEPUI8QiwtN0fYHMAiYC+s2FkIWbCzehaZRBTLeTDC922xjy1efgwz02xmcSIuJqxxOoYx/R1jSEXuHPDAIQBvXGXvDvhynzoAfprYcMIlnwHypXlAV6tYp7L344AfAPYimnrP9Yad7gEJGXEAq1hSex8FDxlxAO9Zx7ED4dERXHDBC43gggteaAQXXPBCI7jgghcawQUXvNAILrjghUZwwQUvNMacQVDvEY9RbB+HvS4Ea30c1vz/ThXBBRe80AguuOCFRnDBBS80ggsueKERXHDBC43gggteaAQXXPBCI/jPWG0zRjaz+h/BbWAtU1545YWptRbzHjX7aeWKjonj0KbTyx1VwKno7A0bblLVpvt0WxUMZ8BqV++4rBjkhuee4zXLP54umGRfSZn/hHDBB8+pPucpVWccscrJ9nHuqTJh/sdUmW2Wa8Fz3PneQ3aLs4rYV/Lv4/fMfz25YZH/2HV2uN/RW2Pp6wpWWcPQb7MPT/6p4jhM6Wh4p6Hb7uq5ry8Y/qZ5sB7vDwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0wMy0wMlQxMToyOTo0MSswMTowMFYLDesAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMDMtMDJUMTE6Mjk6NDErMDE6MDAnVrVXAAAAFHRFWHRwZGY6VmVyc2lvbgBQREYtMS41IAVcCzkAAAAASUVORK5CYII=\n", + "image/png": 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"text/plain": [ "" ] @@ -1115,7 +1107,7 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": 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, "text/plain": [ "" ] @@ -1128,7 +1120,7 @@ "source": [ "N = 2\n", "qc0 = QubitCircuit(N)\n", - "qc0.add_gate(\"SWAP\", [0, 1], None)\n", + "qc0.add_gate(\"ISWAP\", [0, 1], None)\n", "qc0.png" ] }, @@ -1140,15 +1132,15 @@ { "data": { "text/latex": [ - "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}1.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 1.0 & 0.0\\\\0.0 & 1.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}" + "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}1.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 1.0j & 0.0\\\\0.0 & 1.0j & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ - "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = True\n", + "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\n", "Qobj data =\n", - "[[1. 0. 0. 0.]\n", - " [0. 0. 1. 0.]\n", - " [0. 1. 0. 0.]\n", - " [0. 0. 0. 1.]]" + "[[1.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", + " [0.+0.j 0.+0.j 0.+1.j 0.+0.j]\n", + " [0.+0.j 0.+1.j 0.+0.j 0.+0.j]\n", + " [0.+0.j 0.+0.j 0.+0.j 1.+0.j]]" ] }, "execution_count": 37, @@ -1169,7 +1161,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ "" ] @@ -1231,7 +1223,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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\n", "text/plain": [ "" ] @@ -1254,15 +1246,15 @@ { "data": { "text/latex": [ - "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}1.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 1.0 & 0.0\\\\0.0 & 1.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}" + "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}1.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 1.0j & 0.0\\\\0.0 & 1.0j & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ - "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = True\n", + "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\n", "Qobj data =\n", - "[[1. 0. 0. 0.]\n", - " [0. 0. 1. 0.]\n", - " [0. 1. 0. 0.]\n", - " [0. 0. 0. 1.]]" + "[[1.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", + " [0.+0.j 0.+0.j 0.+1.j 0.+0.j]\n", + " [0.+0.j 0.+1.j 0.+0.j 0.+0.j]\n", + " [0.+0.j 0.+0.j 0.+0.j 1.+0.j]]" ] }, "execution_count": 41, @@ -1285,11 +1277,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 42, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "qc1.add_gate(\"CSIGN\", index=1)\n", + "qc1.add_gate(\"CSIGN\", index=[1], targets=[0], controls=[1])\n", "qc1.png" ] }, @@ -1302,17 +1306,17 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 43, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", "text/plain": [ "" ] }, - "execution_count": 42, + "execution_count": 43, "metadata": {}, "output_type": "execute_result" } @@ -1329,7 +1333,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 44, "metadata": {}, "outputs": [ { @@ -1366,7 +1370,7 @@ " 0. +0.j 0.35355339+0.35355339j]]" ] }, - "execution_count": 43, + "execution_count": 44, "metadata": {}, "output_type": "execute_result" } @@ -1385,17 +1389,17 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 45, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "" ] }, - "execution_count": 44, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -1407,7 +1411,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 46, "metadata": {}, "outputs": [ { @@ -1444,7 +1448,7 @@ " 0. +0.j 0.35355339+0.35355339j]]" ] }, - "execution_count": 45, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -1456,17 +1460,17 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 47, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "" ] }, - "execution_count": 46, + "execution_count": 47, "metadata": {}, "output_type": "execute_result" } @@ -1478,7 +1482,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 48, "metadata": {}, "outputs": [ { @@ -1515,7 +1519,7 @@ " 0. +0.j 0.35355339+0.35355339j]]" ] }, - "execution_count": 47, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } @@ -1534,17 +1538,17 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 49, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "" ] }, - "execution_count": 48, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" } @@ -1556,7 +1560,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 50, "metadata": {}, "outputs": [ { @@ -1593,7 +1597,7 @@ " 0. +0.j 0.35355339+0.35355339j]]" ] }, - "execution_count": 49, + "execution_count": 50, "metadata": {}, "output_type": "execute_result" } @@ -1605,17 +1609,17 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 51, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "" ] }, - "execution_count": 50, + "execution_count": 51, "metadata": {}, "output_type": "execute_result" } @@ -1627,7 +1631,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 52, "metadata": {}, "outputs": [ { @@ -1664,7 +1668,7 @@ " 0. +0.j 0.35355339+0.35355339j]]" ] }, - "execution_count": 51, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -1690,17 +1694,17 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 53, "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ "" ] }, - "execution_count": 52, + "execution_count": 53, "metadata": {}, "output_type": "execute_result" } @@ -1713,7 +1717,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 54, "metadata": {}, "outputs": [ { @@ -1734,7 +1738,7 @@ " [0. 0. 0. 0. 0. 0. 1. 0.]]" ] }, - "execution_count": 53, + "execution_count": 54, "metadata": {}, "output_type": "execute_result" } @@ -1746,29 +1750,30 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 55, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", "text/plain": [ - "" + "[Gate(SWAP, targets=[0, 1], controls=None, classical controls=None, control_value=None),\n", + " Gate(CNOT, targets=[2], controls=[1], classical controls=None, control_value=None),\n", + " Gate(SWAP, targets=[0, 1], controls=None, classical controls=None, control_value=None)]" ] }, - "execution_count": 54, + "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc9 = qc8.adjacent_gates()\n", - "qc9.png" + "qc9.gates" ] }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 56, "metadata": {}, "outputs": [ { @@ -1789,7 +1794,7 @@ " [0. 0. 0. 0. 0. 0. 1. 0.]]" ] }, - "execution_count": 55, + "execution_count": 56, "metadata": {}, "output_type": "execute_result" } @@ -1801,17 +1806,17 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 57, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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\n", "text/plain": [ "" ] }, - "execution_count": 56, + "execution_count": 57, "metadata": {}, "output_type": "execute_result" } @@ -1823,7 +1828,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 58, "metadata": {}, "outputs": [ { @@ -1844,7 +1849,7 @@ " [0. 0. 0. 0. 0. 0. 1. 0.]]" ] }, - "execution_count": 57, + "execution_count": 58, "metadata": {}, "output_type": "execute_result" } @@ -1864,28 +1869,27 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[Gate(RY, targets=[1], controls=None),\n", - " Gate(RX, targets=[1], controls=None),\n", - " Gate(RY, targets=[1], controls=None),\n", - " Gate(RX, targets=[1], controls=None)]" + "[Gate(RY, targets=[1], controls=None, classical controls=None, control_value=None),\n", + " Gate(RX, targets=[1], controls=None, classical controls=None, control_value=None),\n", + " Gate(RX, targets=[1], controls=None, classical controls=None, control_value=None)]" ] }, - "execution_count": 58, + "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QubitCircuit(1)\n", - "qc.add_gate(\"RX\", targets=1)\n", - "qc.add_gate(\"RX\", targets=1)\n", - "qc.add_gate(\"RY\", targets=1, index=[1,0])\n", + "qc.add_gate(\"RX\", targets=1, arg_value=np.pi/2)\n", + "qc.add_gate(\"RX\", targets=1, arg_value=np.pi/2)\n", + "qc.add_gate(\"RY\", targets=1, arg_value=np.pi/2, index=[0])\n", "qc.gates" ] }, @@ -1899,7 +1903,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 60, "metadata": {}, "outputs": [], "source": [ @@ -1926,7 +1930,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 61, "metadata": {}, "outputs": [], "source": [ @@ -1944,9 +1948,19 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 62, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + ":3: DeprecationWarning: `np.complex` is a deprecated alias for the builtin `complex`. To silence this warning, use `complex` by itself. Doing this will not modify any behavior and is safe. If you specifically wanted the numpy scalar type, use `np.complex128` here.\n", + "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n", + " mat = np.zeros((4, 4), dtype=np.complex)\n" + ] + } + ], "source": [ "# qubit 0 controls qubit 1\n", "qc.add_gate(\"CTRLRX\", targets=[0,1], arg_value=pi/2)\n", @@ -1960,7 +1974,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 63, "metadata": {}, "outputs": [ { @@ -1981,7 +1995,7 @@ " 0.70710678+0.j ]]" ] }, - "execution_count": 65, + "execution_count": 63, "metadata": {}, "output_type": "execute_result" } @@ -1992,7 +2006,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 64, "metadata": {}, "outputs": [ { @@ -2013,7 +2027,7 @@ " 0.70710678+0.j ]]" ] }, - "execution_count": 66, + "execution_count": 64, "metadata": {}, "output_type": "execute_result" } @@ -2024,7 +2038,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 65, "metadata": {}, "outputs": [ { @@ -2041,7 +2055,7 @@ " [0.+0.j 0.+0.j 0.+0.j 0.+1.j]]" ] }, - "execution_count": 67, + "execution_count": 65, "metadata": {}, "output_type": "execute_result" } @@ -2059,20 +2073,19 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/html": [ - "
SoftwareVersion
QuTiP4.5.0.dev0+0f412cd4
Numpy1.18.1
SciPy1.4.1
matplotlib3.1.3
Cython0.29.15
Number of CPUs2
BLAS InfoINTEL MKL
IPython7.12.0
Python3.7.6 (default, Jan 8 2020, 19:59:22) \n", - "[GCC 7.3.0]
OSposix [linux]
Mon Mar 02 11:35:36 2020 CET
" + "
SoftwareVersion
QuTiP4.6.0+c003ff5
Numpy1.20.1
SciPy1.5.3
matplotlib3.3.0
Cython0.29.21
Number of CPUs12
BLAS InfoGeneric
IPython7.16.1
Python3.8.6 | packaged by conda-forge | (default, Oct 7 2020, 18:22:52) [MSC v.1916 64 bit (AMD64)]
OSnt [win32]
Mon Apr 12 19:47:05 2021 W. Europe Daylight Time
" ], "text/plain": [ "" ] }, - "execution_count": 68, + "execution_count": 66, "metadata": {}, "output_type": "execute_result" } @@ -2081,13 +2094,6 @@ "from qutip.ipynbtools import version_table\n", "version_table()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/examples/teleportation.ipynb b/examples/teleportation.ipynb index 0ba5705..6f3b4d4 100644 --- a/examples/teleportation.ipynb +++ b/examples/teleportation.ipynb @@ -26,16 +26,7 @@ "\n", "This notebook introduces the basic quantum teleportation circuit (http://www.physics.udel.edu/~msafrono/425-2011/Lecture%2025-1.pdf), complete with measurements and classical control. This notebook also serves as an example on how to add measurement gates and classical controls to a circuit.\n", "\n", - "We will describe the circuit that enables teleportation below. " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "raw_mimetype": "text/latex" - }, - "source": [ - "We will use two classical wires and three qubit wires. The first qubit wire represents the quantum state $| q0 ⟩ = | \\psi ⟩$ that needs to be transferred from Alice to Bob (so the first qubit is in the posession of Alice). " + "We will describe the circuit that enables quantum teleportation. We will use two classical wires and three qubit wires. The first qubit wire represents the quantum state $| q0 ⟩ = | \\psi ⟩$ that needs to be transferred from Alice to Bob (so the first qubit is in the possession of Alice). " ] }, { @@ -44,7 +35,7 @@ "metadata": {}, "outputs": [], "source": [ - "teleportation = QubitCircuit(3, num_cbits = 2, input_states = [\"q0\", \"0\", \"0\", \"c0\", \"c1\"])" + "teleportation = QubitCircuit(3, num_cbits = 2, input_states = [\"\\psi\", \"0\", \"0\", \"c0\", \"c1\"])" ] }, { @@ -123,14 +114,14 @@ { "data": { "text/plain": [ - "[Gate(SNOT, targets=[1], controls=None, classical controls=None),\n", - " Gate(CNOT, targets=[2], controls=[1], classical controls=None),\n", - " Gate(CNOT, targets=[1], controls=[0], classical controls=None),\n", - " Gate(SNOT, targets=[0], controls=None, classical controls=None),\n", - " Measurement(M0, target=[0], classical_store=1,\n", - " Measurement(M1, target=[1], classical_store=0,\n", - " Gate(X, targets=[2], controls=None, classical controls=[0]),\n", - " Gate(Z, targets=[2], controls=None, classical controls=[1])]" + "[Gate(SNOT, targets=[1], controls=None, classical controls=None, control_value=None),\n", + " Gate(CNOT, targets=[2], controls=[1], classical controls=None, control_value=None),\n", + " Gate(CNOT, targets=[1], controls=[0], classical controls=None, control_value=None),\n", + " Gate(SNOT, targets=[0], controls=None, classical controls=None, control_value=None),\n", + " Measurement(M0, target=[0], classical_store=1),\n", + " Measurement(M1, target=[1], classical_store=0),\n", + " Gate(X, targets=[2], controls=None, classical controls=[0], control_value=None),\n", + " Gate(Z, targets=[2], controls=None, classical controls=[1], control_value=None)]" ] }, "execution_count": 6, @@ -156,256 +147,9 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "execution_count": 7, @@ -421,10 +165,10 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The first qubit is user-specified $|q0 ⟩ = |\\psi ⟩$ and the other two must be $|0⟩$. \n", + "The first qubit is user-specified $|\\psi ⟩$ state and the other two must be $|0⟩$. \n", "\n", "### Example 1 \n", - "#### $|q0 ⟩ = |+ ⟩$ " + "#### $|\\psi⟩ = |+ ⟩$ " ] }, { @@ -494,7 +238,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -503,20 +247,19 @@ "text": [ "Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", "Qobj data =\n", - "[[0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [1.]]\n" + "[[0. ]\n", + " [0. ]\n", + " [0. ]\n", + " [0. ]\n", + " [0. ]\n", + " [0. ]\n", + " [0.70710678]\n", + " [0.70710678]]\n" ] } ], "source": [ - "result = teleportation.run(state)\n", - "state_final = result.get_states(index=0)\n", + "state_final = teleportation.run(state)\n", "print(state_final)" ] }, @@ -539,22 +282,22 @@ " Qobj data =\n", " [[0.]\n", " [0.]\n", - " [1.]\n", " [0.]\n", " [0.]\n", " [0.]\n", " [0.]\n", + " [1.]\n", " [0.]],\n", " Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", " Qobj data =\n", " [[0.]\n", " [0.]\n", " [0.]\n", - " [1.]\n", " [0.]\n", " [0.]\n", " [0.]\n", - " [0.]]],\n", + " [0.]\n", + " [1.]]],\n", " [0.4999999999999999, 0.4999999999999999])" ] }, @@ -573,7 +316,7 @@ "metadata": {}, "source": [ "### Example 2 \n", - "#### $|q0 ⟩ = |1 ⟩$ " + "#### $|\\psi⟩ = |1 ⟩$ " ] }, { @@ -623,19 +366,18 @@ "Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", "Qobj data =\n", "[[0.]\n", + " [1.]\n", " [0.]\n", " [0.]\n", " [0.]\n", " [0.]\n", - " [1.]\n", " [0.]\n", " [0.]]\n" ] } ], "source": [ - "result = teleportation.run(state)\n", - "state_final = result.get_states(index=0)\n", + "state_final = teleportation.run(state)\n", "print(state_final)" ] }, @@ -651,11 +393,11 @@ " Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", " Qobj data =\n", " [[0.]\n", + " [1.]\n", " [0.]\n", " [0.]\n", " [0.]\n", " [0.]\n", - " [1.]\n", " [0.]\n", " [0.]]],\n", " [0.0, 1.0])" @@ -686,50 +428,10 @@ { "data": { "text/plain": [ - "([Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", - " Qobj data =\n", - " [[0.]\n", - " [1.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]],\n", - " Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", - " Qobj data =\n", - " [[0.]\n", - " [0.]\n", - " [0.]\n", - " [1.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]],\n", - " Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", - " Qobj data =\n", - " [[0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [1.]\n", - " [0.]\n", - " [0.]],\n", - " Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", - " Qobj data =\n", - " [[0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [0.]\n", - " [1.]]],\n", - " [0.24999999999999994,\n", - " 0.24999999999999994,\n", - " 0.24999999999999994,\n", - " 0.24999999999999994])" + "[0.24999999999999994,\n", + " 0.24999999999999994,\n", + " 0.24999999999999994,\n", + " 0.24999999999999994]" ] }, "execution_count": 15, @@ -739,7 +441,7 @@ ], "source": [ "results = teleportation.run_statistics(state)\n", - "results.get_results()" + "results.probabilities" ] }, { @@ -748,41 +450,81 @@ "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "QuTiP: Quantum Toolbox in Python\n", - "================================\n", - "Copyright (c) QuTiP team 2011 and later.\n", - "Original developers: R. J. Johansson & P. D. Nation.\n", - "Previous lead developers: Chris Granade & A. Grimsmo.\n", - "Current admin team: Alexander Pitchford, Paul D. Nation, Nathan Shammah, Shahnawaz Ahmed, Neill Lambert, Eric Giguère, and Boxi Li\n", - "Project Manager: Franco Nori.\n", - "Currently developed through wide collaboration. See https://github.com/qutip for details.\n", - "\n", - "QuTiP Version: 4.6.0.dev0+1e2867b0\n", - "Numpy Version: 1.19.0\n", - "Scipy Version: 1.5.1\n", - "Cython Version: 0.29.13\n", - "Matplotlib Version: 3.1.1\n", - "Python Version: 3.7.4\n", - "Number of CPUs: 2\n", - "BLAS Info: OPENBLAS\n", - "OPENMP Installed: False\n", - "INTEL MKL Ext: False\n", - "Platform Info: Darwin (x86_64)\n", - "Installation path: /Users/sid/Documents/qutip_dev/qutip/qutip\n", - "==============================================================================\n", - "Please cite QuTiP in your publication.\n", - "==============================================================================\n", - "For your convenience a bibtex reference can be easily generated using `qutip.cite()`\n" - ] + "data": { + "text/plain": [ + "[Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", + " Qobj data =\n", + " [[0.]\n", + " [1.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]],\n", + " Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", + " Qobj data =\n", + " [[0.]\n", + " [0.]\n", + " [0.]\n", + " [1.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]],\n", + " Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", + " Qobj data =\n", + " [[0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [1.]\n", + " [0.]\n", + " [0.]],\n", + " Quantum object: dims = [[2, 2, 2], [1, 1, 1]], shape = (8, 1), type = ket\n", + " Qobj data =\n", + " [[0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]\n", + " [1.]]]" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results.final_states" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
SoftwareVersion
QuTiP4.6.0+c003ff5
Numpy1.20.1
SciPy1.5.3
matplotlib3.3.0
Cython0.29.21
Number of CPUs12
BLAS InfoGeneric
IPython7.16.1
Python3.8.6 | packaged by conda-forge | (default, Oct 7 2020, 18:22:52) [MSC v.1916 64 bit (AMD64)]
OSnt [win32]
Mon Apr 12 19:56:28 2021 W. Europe Daylight Time
" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "from qutip import about\n", - "about()" + "from qutip.ipynbtools import version_table\n", + "version_table()" ] } ], @@ -803,7 +545,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.4" + "version": "3.8.6" } }, "nbformat": 4,