# MPS and MPO in Quantum Circult

**URL:** <https://itensor.discourse.group/t/mps-and-mpo-in-quantum-circult/2577>\
**Category:** General Discussion\
**Tags:** mps, mpo\
**Created:** [January 30, 2026, 1:18pm UTC](https://itensor.discourse.group/t/mps-and-mpo-in-quantum-circult/2577 "2026-01-30T13:18:24Z")\
**Posts on this page:** 3\
**Page:** 1

<div class="post-metadata">

**Author:** ![yedi](https://avatars.discourse-cdn.com/v4/letter/y/4da419/32.png) [@yedi](https://itensor.discourse.group/u/yedi)\
**Post date:** [January 30, 2026, 1:18pm UTC](https://itensor.discourse.group/t/mps-and-mpo-in-quantum-circult/2577/1 "2026-01-30T13:18:24Z")

</div>

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.

---

<div class="post-metadata">

**Author:** ![corbett5](https://yyz2.discourse-cdn.com/free1/user_avatar/itensor.discourse.group/corbett5/32/886_2.png) [@corbett5](https://itensor.discourse.group/u/corbett5)\
**Post date:** [January 30, 2026, 8:43pm UTC](https://itensor.discourse.group/t/mps-and-mpo-in-quantum-circult/2577/2 "2026-01-30T20:43:19Z")

</div>

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

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

ITensors itself does not implement any algorithms.

---

<div class="post-metadata">

**Author:** ![system](https://global.discourse-cdn.com/free1/uploads/itensor/original/1X/d3072b13e047cd06df7f3981547c0917d940dfa4.png) [@system](https://itensor.discourse.group/u/system)\
**Post date:** [February 9, 2026, 8:43pm UTC](https://itensor.discourse.group/t/mps-and-mpo-in-quantum-circult/2577/3 "2026-02-09T20:43:46Z")

</div>

This topic was automatically closed 10 days after the last reply. New replies are no longer allowed.