Structure-preserving numerical schemes for Lindblad equations

Abstract

We study a family of structure-preserving deterministic numerical schemes for Lindblad equations. This family of schemes has a simple form and can systemically achieve arbitrary high-order accuracy in theory. Moreover, these schemes can also overcome the non-physical issues that arise from many traditional numerical schemes. Due to their preservation of physical nature, these schemes can be straightforwardly used as backbones for further developing randomized and quantum algorithms in simulating Lindblad equations. In this work, we systematically study this family of structure-preserving deterministic schemes and perform a detailed error analysis, which is validated through numerical examples.

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Cited by in corpus (6)

• A Riemannian Approach to the Lindbladian Dynamics of a Locally Purified Tensor Network
• Full- and low-rank exponential Euler integrators for the Lindblad equation
• Dynamically Optimal Unraveling Schemes for Simulating Lindblad Equations
• Statistical Characterization of Entanglement Degradation Under Markovian Noise in Composite Quantum Systems
• A posteriori error estimates for the Lindblad master equation
• A Randomized Method for Simulating Lindblad Equations and Thermal State Preparation