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Quantum Algorithms for Fermionic Quantum Field Theories

Published

Author(s)

Stephen P. Jordan, Keith S. Lee, John Preskill

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. 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 in the energy scale. Thus, it constitutes further progress towards an efficient quantum algorithm for simulating the Standard Model of particle physics.
Citation
Quantum Information & Computation

Keywords

quantum algorithm, quantum field theory, fermion

Citation

Jordan, S. , Lee, K. and Preskill, J. (2014), Quantum Algorithms for Fermionic Quantum Field Theories, Quantum Information & Computation, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=915741 (Accessed October 17, 2025)

Issues

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Created April 27, 2014, Updated October 16, 2020
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