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Variational quantum algorithms for simulation of Lindblad dynamics
Tasneem M Watad, N. Lindner·May 4, 2023·DOI: 10.1088/2058-9565/ad17d8
Physics
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Abstract
We introduce variational hybrid classical-quantum algorithms to simulate the Lindblad master equation and its adjoint for time-evolving Markovian open quantum systems and quantum observables. Our methods are 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 algorithms on different models and system sizes, showing their potential for utility with near-future hardware.