State-dependent Trotter limits and their approximations

Burgarth D, Galke N, Hahn A, Van Luijk L (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Physical Review A American Physical Society

Book Volume: 107

Article Number: L040201

Journal Issue: 4

DOI: 10.1103/PhysRevA.107.L040201

Abstract

The Trotter product formula is a key instrument in numerical simulations of quantum systems. However, computers cannot deal with continuous degrees of freedom, such as the position of particles in molecules, or the amplitude of electromagnetic fields. It is therefore necessary to discretize these variables to make them amenable to digital simulations. Here, we give sufficient conditions to conclude the validity of this approximate discretized physics. Essentially, it depends on the state-dependent Trotter error, for which we establish explicit bounds that are also of independent interest.

Authors with CRIS profile

Daniel Burgarth Professur für Theoretische Physik

Additional Organisation(s)

FAU Profilzentrum Licht.Materie.Quantentechnologien (FAU LMQ)

Involved external institutions

Autonomous University of Barcelona (UAB) / Universitat Autònoma de Barcelona ES Spain (ES) Macquarie University AU Australia (AU) Gottfried Wilhelm Leibniz Universität Hannover DE Germany (DE)

How to cite

APA:

Burgarth, D., Galke, N., Hahn, A., & Van Luijk, L. (2023). State-dependent Trotter limits and their approximations. Physical Review A, 107(4). https://doi.org/10.1103/PhysRevA.107.L040201

MLA:

Burgarth, Daniel, et al. "State-dependent Trotter limits and their approximations." Physical Review A 107.4 (2023).

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