We introduce a variational hybrid classical-quantum algorithm to simulate the Lindblad master equation and its adjoint for time-evolving Markovian open quantum systems and quantum observables. Our method is based on a direct representation of density matrices and quantum observables as quantum superstates. We design and optimize low-depth variational quantum circuits that efficiently capture the unitary and non-unitary dynamics of the solutions. We benchmark and test the algorithm on different system sizes, showing its potential for utility with near-future hardware.
@article{arxiv.2305.02815,
title = {Variational Quantum Algorithms for Simulation of Lindblad Dynamics},
author = {Tasneem Watad and Netanel H. Lindner},
journal= {arXiv preprint arXiv:2305.02815},
year = {2023}
}