Finding the transient and steady state properties of open quantum systems is a central problem in various fields of quantum technologies. Here, we present a quantum-assisted algorithm to determine the steady states of open system dynamics. By reformulating the problem of finding the fixed point of Lindblad dynamics as a feasibility semi-definite program, we bypass several well known issues with variational quantum approaches to solving for steady states. We demonstrate that our hybrid approach allows us to estimate the steady states of higher dimensional open quantum systems and discuss how our method can find multiple steady states for systems with symmetries.

10aFOS: Physical sciences10aQuantum Physics (quant-ph)1 aLau, Jonathan, Wei Zhong1 aLim, Kian, Hwee1 aBharti, Kishor1 aKwek, Leong-Chuan1 aVinjanampathy, Sai uhttps://arxiv.org/abs/2204.03203