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Quantum Algorithms for Fermionic Quantum Field Theories

Jordan, Stephen P. and Lee, Keith S. M. and Preskill, John (2014) Quantum Algorithms for Fermionic Quantum Field Theories. . (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20140529-115454760

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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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1404.7115arXivDiscussion Paper
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.
Group:Caltech Theory, Institute for Quantum Information and Matter, IQIM, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFPHY-0803371
DOEDE-FG03-9 2-ER40701
National Security Agency/Army Research Office W911NF-09-1-0442
Government of CanadaUNSPECIFIED
Province of OntarioUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2014-136
Record Number:CaltechAUTHORS:20140529-115454760
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140529-115454760
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45969
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:29 May 2014 19:11
Last Modified:14 Aug 2014 15:21

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