Tensor Renormalization Group Methods for Quantum Real-time Evolution

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 calcu...

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Bibliographic Details
Main Authors Hite, Michael, Meurice, Yannick
Format Journal Article
LanguageEnglish
Published 22.12.2023
Subjects
Physics - High Energy Physics - Lattice
Physics - High Energy Physics - Theory
Physics - Quantum Physics
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Summary: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.
DOI:10.48550/arxiv.2312.14825