Variational Quantum Algorithms for Simulation of Lindblad Dynamics

Tasneem Watad; Netanel H. Lindner

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arXiv · 2305.02815

Variational Quantum Algorithms for Simulation of Lindblad Dynamics

Tasneem Watad·Netanel H. Lindner

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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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Tasneem Watad, Netanel H. Lindner. 2023-05-04. Variational Quantum Algorithms for Simulation of Lindblad Dynamics. https://arxiv.org/abs/2305.02815

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