Tensor Renormalization Group Methods for Quantum Real-time Evolution

Michael Hite; Yannick Meurice

doi:10.48550/arxiv.2312.14825

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Tensor Renormalization Group Methods for Quantum Real-time Evolution

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Tensor Renormalization Group Methods for Quantum Real-time Evolution

Michael Hite and Yannick Meurice

ArXiv.org

Cornell University

12/22/2023

DOI: 10.48550/arxiv.2312.14825

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https://doi.org/10.48550/arxiv.2312.14825View

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

Ab-initio calculations of real-time evolution for lattice gauge theory have very interesting potential applications but present challenging computational aspects. We show that tensor renormalization group methods developed in the context of Euclidean-time lattice field theory can be applied to calculation of Trotterized evolution operators at real time. We discuss the optimization of truncation procedures for various observables. We apply the numerical methods to the 1D Quantum Ising Model with an external transverse field in the ordered phase and compare with universal quantum computing for $N_{s}=4$ and 8 sites.

Physics - High Energy Physics - Lattice

Physics - High Energy Physics - Theory

Physics - Quantum Physics

Details

Title: Subtitle: Tensor Renormalization Group Methods for Quantum Real-time Evolution
Creators: Michael Hite
Yannick Meurice
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2312.14825
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Language: English
Date posted: 12/22/2023
Academic Unit: Physics and Astronomy
Record Identifier: 9984536841902771

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