01282nas a2200181 4500008004100000245008800041210006900129260001300198520068100211653002700892653003100919100002900950700002000979700001900999700002201018700002301040856003701063 2022 eng d00aConvex optimization for non-equilibrium steady states on a hybrid quantum processor0 aConvex optimization for nonequilibrium steady states on a hybrid c4/7/20223 a
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