Variational Quantum Algorithms for Simulation of Lindblad Dynamics

• URL: http://arxiv.org/abs/2305.02815v2
• Date: Thu, 18 May 2023 12:39:17 GMT
• Title: Variational Quantum Algorithms for Simulation of Lindblad Dynamics
• Authors: Tasneem Watad and Netanel H. Lindner
• Abstract summary: 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. We design and optimize low-depth variational quantum circuits that efficiently capture the unitary and non-unitary dynamics of the solutions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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