Journal article
Quantum simulation of the N-flavor Gross-Neveu model
Physical review. D, Vol.106(11), 114515
12/30/2022
DOI: 10.1103/PhysRevD.106.114515
Abstract
We discuss the use of quantum simulation to study an N-flavor theory of interacting relativistic fermions in (1 + 1) dimensions on noisy intermediate-scale quantum (NISQ)-era machines. The case of two flavors is particularly interesting as it can be mapped to the Hubbard model. We derive the appropriate qubit Hamiltonians and associated quantum circuits. We compare classical simulation and density matrix renormalization group/time-evolving blocked decimation calculations with the results of quantum simulation on various platforms for N = 2 and 4-flavors. We demonstrate that the four steps needed for calculations of real-time scattering can be implemented using current NISQ devices.
Details
- Title: Subtitle
- Quantum simulation of the N-flavor Gross-Neveu model
- Creators
- Muhammad Asaduzzaman - Syracuse UniversityGoksu Can Toga - Syracuse UniversitySimon Catterall - Syracuse UniversityYannick Meurice - University of IowaRyo Sakai - Syracuse University
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Vol.106(11), 114515
- DOI
- 10.1103/PhysRevD.106.114515
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Publisher
- Amer Physical Soc
- Number of pages
- 11
- Grant note
- DE-SC0009998; DE-SC0019139 / U.S. Department of Energy; United States Department of Energy (DOE)
- Language
- English
- Date published
- 12/30/2022
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984429053102771
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