Quantum Algorithms for Fermionic Quantum Field Theories

Understand

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.