Quantum Algorithms for Fermionic Quantum Field Theories
Stephen P. Jordan, Keith S. Lee, John Preskill
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.
, Lee, K.
and Preskill, J.
Quantum Algorithms for Fermionic Quantum Field Theories, Quantum Information & Computation, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=915741
(Accessed December 11, 2023)