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Tensor Renormalization Group Methods for Quantum Real-time Evolution
Conference proceeding   Open access

Tensor Renormalization Group Methods for Quantum Real-time Evolution

Michael Hite and Yannick Meurice
40TH INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY, LATTICE2023, Vol.453, 149
11/06/2024
DOI: 10.22323/1.453.0149
url
https://doi.org/10.22323/1.453.0149View
Published (Version of record) 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 the real-time equivalent of the partition function. 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.
Physical Sciences Physics Physics, Particles & Fields Science & Technology

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