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Quantum circuit from MPS #487
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Hi, the short answer is no inherent support for doing that. The strategy of converting an MPS to a quantum circuit can be straight-forward. You just first canonicalize the MPS, and then compile each unitary to a quantum circuit. However, compiling generic n-qubit unitary to a quantum circuit is very inefficient, which requires exponential many gates. A straight-forward approach is:
Alternatively, you could use the variational approach to approximate the gate. For example, the following paper used Yao and the code is available on Github: |
Hi Prof Liu, can I follow up with your comments above?
Do you mean that you use the variational approach to approximate the whole target state (say a N-site GHZ state) with your ansatz or just certain operator with your ansatz? Thanks! |
The whole state, please check the this code repo: https://github.com/frankwswang/MSQR.jl , which is a part of our unpublished work. |
Thanks for sharing your latest code here! I think I did not ask clearly enough before, but my question is that you also approximate the MPS with a quantum circuit using some kind of gradient descent in Eq. (3)? |
Yes. We can use of the parameter shift rule to compute the gradient of the overlap function. |
Hi,
I am a regular user of ITensor new to Yao. I am wondering if the package has the functionality of producing an approximate quantum circuit of one and two qubit gates given an MPS (may be imported from ITensor etc from a DMRG calculation). There are couple of papers along that line that has been published in recent years like
https://arxiv.org/abs/2209.00595
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.101.032310
I want to use Yao for a similar purpose, so I was wondering if there is inherent support for doing that here. Any help will be appreciated.
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