MPS and MPO in Quantum Circult

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Dear porfessors,

In my previous work, I have used DMRG in ITensor to study the properties of two-dimensional Fermi–Hubbard model. I am also aware that ITensor provides a module for quantum circuit simulation.

This naturally raises the question of whether MPS and MPO can be translated into a quantum circuit representation?

We can use DMRG-inspired methods to accelerate the convergence of quantum circuits. Since MPS and MPO provide rich information about quantum entanglement, we can use the final MPS obtained from DMRG as the initial state of a quantum circuit.

Regards,

YD Shen.

There are many algorithms to load an MPS on a quantum computer. Here are two

https://doi.org/10.1103/PRXQuantum.6.020327
https://iopscience.iop.org/article/10.1088/2058-9565/ad04e6

ITensors itself does not implement any algorithms.