Journal article
Perturbative boundaries of quantum advantage: Real-time evolution for digitized λ ϕ 4 lattice models
Physical review. D, Vol.107(7), 074508
04/01/2023
DOI: 10.1103/PhysRevD.107.074508
Abstract
The real time evolution of quantum field theory models can be calculated order by order in perturbation theory. For A04 models, the perturbative series have a zero radius of convergence which in part motivated the design of digitized versions suitable for quantum computing. In agreement with general arguments suggesting that a large field cutoff modifies Dyson's reasoning and improves convergence properties, we show that the harmonic digitizations of A04 lattice field theories lead to weak coupling expansions with a finite radius of convergence. Similar convergence properties are found for strong coupling expansions. We compare the resources needed to calculate the real-time evolution of the digitized models with perturbative expansions to those needed to do so with universal quantum computers. Unless new approximate methods can be designed to calculate long perturbative series for large systems efficiently, it appears that the use of universal quantum computers with digitizations involving a few qubits per site has the potential for more efficient calculations of the real-time evolution for large systems at intermediate coupling.
Details
- Title: Subtitle
- Perturbative boundaries of quantum advantage: Real-time evolution for digitized λ ϕ 4 lattice models
- Creators
- Robert Maxton - University of IowaYannick Meurice - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Vol.107(7), 074508
- Publisher
- Amer Physical Soc
- DOI
- 10.1103/PhysRevD.107.074508
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Number of pages
- 18
- Grant note
- DOI: 10.13039/100000015, name: U.S. Department of Energy, award: DE-SC0019139
- Language
- English
- Date published
- 04/01/2023
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984442015502771
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