Fermion Scattering on Quantum Computers

@misc{abel2026fermion,
  title = {{Fermion Scattering on Quantum Computers}},
  author = {Steven Abel and Michael Spannowsky and Simon Williams},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32882},
  eprint = {2610.32882},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32882},
}

TY  - UNPB
TI  - Fermion Scattering on Quantum Computers
AU  - Steven Abel
AU  - Michael Spannowsky
AU  - Simon Williams
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32882
UR  - https://arxiv.org/abs/2610.32882
AB  - Resonant scattering links particle interactions to the formation and decay of unstable excitations. We develop a hybrid quantum-computing framework to study these dynamics through fermion--antifermion collisions. Our formulation of (1+1)-dimensional Yukawa theory encodes fermions in qubits and the scalar field in qumodes. We identify the operations needed for a photonic implementation and benchmark the dynamics with tensor-network simulations. Near resonance, we resolve the build-up of a localised scalar excitation and the subsequent partial return of energy to the fermions. Enhanced entanglement accompanies this exchange. Time-dependent correlator measurements reproduce the analytically predicted decay rate to a few percent precision, with energy scans exhibiting a resonance peak consistent with packet-averaged Breit--Wigner behaviour. These results establish a concrete scattering benchmark for hybrid quantum computers and demonstrate how local real-time observables can probe particle-resonance dynamics.
ER  -