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Quantum Algorithms for Fermionic Quantum Field Theories

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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.

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representative citing papers

Light nuclear scattering from neural quantum states

nucl-th · 2026-05-27 · unverdicted · novelty 7.0

Neural quantum states plus minimum principles compute elastic and inelastic neutron-deuteron scattering observables with conservative uncertainties, without time evolution.

A collider as a quantum computer

hep-ph · 2026-05-07 · unverdicted · novelty 6.0

Collider scattering processes such as electron-positron annihilation to muon pairs can be represented as quantum circuits with unitary and non-unitary components.

Universal Euler-Cartan Circuits for Quantum Field Theories

quant-ph · 2024-07-31 · unverdicted · novelty 5.0

Presents a universal parametrized quantum circuit ansatz based on Euler-Cartan decompositions, benchmarked on energy spectra of lattice QFT models with short- and long-range interactions.

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