Published April 28, 2014
| Submitted
Discussion Paper
Open
Quantum Algorithms for Fermionic Quantum Field Theories
Chicago
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Abstract
Extending previous work on scalar field theories, we develop a quantum algorithm to compute relativistic scattering amplitudes in fermionic field theories, exemplified by the massive Gross-Neveu model, a theory in two spacetime dimensions with quartic interactions. The algorithm introduces new techniques to meet the additional challenges posed by the characteristics of fermionic fields, and its run time is polynomial in the desired precision and the energy. Thus, it constitutes further progress towards an efficient quantum algorithm for simulating the Standard Model of particle physics.
Additional Information
Submitted on April 28 2014. We thank William George for help with numerical calculation s. This work was supported by NSF grant PHY-0803371, DOE grant DE-FG03-9 2-ER40701, and NSA/ARO grant W911NF-09-1-0442. IQC and Perimeter Institute are supported in part by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation. The Institute for Quantum Informa tion and Matter (IQIM) is an NSF physics Frontiers Center with support from the Gordon and Betty Moore Foundation. S.J. and K.L. are grateful for the hospitality of the IQIM (formerly IQI), Caltech, during parts of this work. Portions of this work are a contribution of NIST, an agency of the US Government, and are not subject to US copyright.Attached Files
Submitted - 1404.7115v1.pdf
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Additional details
- Eprint ID
- 45969
- Resolver ID
- CaltechAUTHORS:20140529-115454760
- NSF
- PHY-0803371
- DOE
- DE-FG03-9 2-ER40701
- National Security Agency/Army Research Office
- W911NF-09-1-0442
- Government of Canada
- Province of Ontario
- Gordon and Betty Moore Foundation
- Created
-
2014-05-29Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
- Caltech groups
- Caltech Theory, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2014-136