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

Abstract: We introduce TensorMixedStates, a Julia library built on top of ITensor which allows the simulation of quantum systems in 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 state-of-the-art algorithms (like DMRG, TDVP, quantum numbers conservation and automated parallelization), finally iii) it presents a user-friendly interface allowing writing sophisticated simulations for pure and mixed quantum states in a few lines of code.