Journal article
Tensor lattice field theory for renormalization and quantum computing
Reviews of modern physics, Vol.94(2), p.1
06/01/2022
DOI: 10.1103/RevModPhys.94.025005
Abstract
The successes and limitations of statistical sampling for a sequence of models studied in the context of lattice QCD are discussed and the need for new methods to deal with finite-density and real-time evolution is emphasized. It is shown that these lattice models can be reformulated using tensorial methods where the field integrations in the path-integral formalism are replaced by discrete sums. These formulations involve various types of duality and provide exact coarse-graining formulas that can be combined with truncations to obtain practical implementations of the Wilson renormalization group program. Tensor reformulations are naturally discrete and provide manageable transfer matrices. Truncations with the time continuum limit are combined, and Hamiltonians suitable for performing quantum simulation experiments, for instance, using cold atoms, or to be programmed on existing quantum computers, are derived. Recent progress concerning the tensor field theory treatment of noncompact scalar models, supersymmetric models, economical four-dimensional algorithms, noise-robust enforcement of Gauss's law, symmetry preserving truncations, and topological considerations are reviewed. Connections with other tensor network approaches are also discussed.
Details
- Title: Subtitle
- Tensor lattice field theory for renormalization and quantum computing
- Creators
- Yannick Meurice - University of IowaRyo Sakai - Syracuse UniversityJudah Unmuth-Yockey - Fermi National Accelerator Laboratory
- Resource Type
- Journal article
- Publication Details
- Reviews of modern physics, Vol.94(2), p.1
- DOI
- 10.1103/RevModPhys.94.025005
- ISSN
- 0034-6861
- eISSN
- 1539-0756
- Grant note
- DOI: 10.13039/100000015, name: U.S. Department of Energy, award: DE-SC0010113, DE-SC0019139, DE-AC02-07CH11359
- Language
- English
- Date published
- 06/01/2022
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984428823702771
Metrics
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