Journal article
Quantum real-time evolution using tensor renormalization group methods
Physical review. D, Vol.111(3), 034502
02/2025
DOI: 10.1103/PhysRevD.111.034502
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 to generate a coarse-grained time evolution operator for a 1+1D transverse Ising model with a longitudinal field. We show that the standard tensor norm used for the singular value decomposition-based truncation is degenerate and propose an alternate method to discriminate. We show that it is effective and efficient in evolving Gaussian wave packets for one and two particles in the disordered phase, while ordered phase behavior is more challenging to capture. We compare our algorithm with local simulators for universal quantum computers and discuss possible benchmarking in the near future.
Details
- Title: Subtitle
- Quantum real-time evolution using tensor renormalization group methods
- Creators
- Michael Hite - University of IowaYannick Meurice - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Vol.111(3), 034502
- Publisher
- AMER PHYSICAL SOC; COLLEGE PK
- DOI
- 10.1103/PhysRevD.111.034502
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Grant note
- NSF: DE-SC0010113
This work is supported in part by the Department of Energy under Grant No. DE-SC0019139 and No. DE-SC0010113. M. H. was also funded in part by NSF Grant No. DMR-1747426. M. H. thanks Judah Unmuth-Yockey (J. U.-Y.) for early discussions on TRG methods and Muhammad Asaduzzaman and Zheyue Hang for discussions on scattering and quantum simulation. Y. M. thanks E. Itou (E. I.) for discussions on real-time TRG in 2021 at a YITP virtual workshop. We thank J. U.-Y., E. I., and Shinichiro Akiyama for insightful comments on the manuscript. Discussions during the long-term workshop, HHIQCD2024, at Yukawa Institute for Theoretical Physics (YITP-T-24-02) , were useful as we completed the draft for this work. Large simulations were run on the University of Iowa's Argon HPC cluster.
- Language
- English
- Date published
- 02/2025
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984787235102771
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