Quantum real-time evolution using tensor renormalization group methods

Michael Hite; Yannick Meurice

doi:10.48550/arxiv.2411.05301

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Quantum real-time evolution using tensor renormalization group methods

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Quantum real-time evolution using tensor renormalization group methods

Michael Hite and Yannick Meurice

ArXiv.org

Cornell University

11/07/2024

DOI: 10.48550/arxiv.2411.05301

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https://doi.org/10.48550/arxiv.2411.05301View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We introduce an approach for approximate real-time evolution of quantum systems using Tensor Renormalization Group (TRG) methods originally developed for imaginary time. We use Higher- Order TRG (HOTRG) to generate a coarse-grained time evolution operator for a 1+1D Transverse Ising Model with a longitudinal field. We show that it is effective and efficient in evolving Gaussian wave packets for one and two particles in the disordered phase. Near criticality behavior is more challenging in real-time. We compare our algorithm with local simulators for universal quantum computers and discuss possible benchmarking in the near future.

Physics - High Energy Physics - Lattice

Physics - Quantum Physics

Details

Title: Subtitle: Quantum real-time evolution using tensor renormalization group methods
Creators: Michael Hite - University of Iowa
Yannick Meurice
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2411.05301
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Language: English
Date posted: 11/07/2024
Academic Unit: Physics and Astronomy
Record Identifier: 9984747818102771

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