TensorMixedStates: a Julia library for simulating pure and mixed quantum states using matrix product states

TL;DR

TensorMixedStates is a Julia library that enables efficient simulation of pure and mixed quantum states with dissipation using matrix product states, leveraging ITensor's capabilities.

Contribution

It introduces a user-friendly Julia library for simulating dissipative quantum systems with MPS, combining advanced algorithms and low-level tensor operations.

Findings

Supports simulation of quantum systems with dissipation using Lindblad equations.

Provides efficient low-level tensor manipulation via ITensor.

Allows writing complex quantum simulations with minimal code.

Abstract

We introduce TensorMixedStates, a Julia library built on top of ITensor which allows the simulation of quantum systems in the presence of dissipation using matrix product states (MPS). It offers three key features: i) it implements the MPS representation for mixed states along with associated operations, in particular the time evolution according to a Lindblad equation or discrete time evolution using non-unitary gates (quantum channels), ii) it is based on ITensor, which has proven its effectiveness and which gives access to efficient low-level tensor manipulation as well as state-of-the-art algorithms (like DMRG or TDVP), finally iii) it presents a user-friendly interface allowing users to write sophisticated simulations for pure and mixed quantum states in a few lines of code.