Quantum computation of partonic Drell-Yan scattering cross sections and interference effects
Abstract
We probe the possibilities of efficiently constructing simple Feynman diagrams into quantum devices. More precisely, we study Drell-Yan lepton pair creation at the partonic level of the form q qbar -> gamma/Z -> l- l+. We develop quantum gates that build up the relevant diagrams using simple Feynman rules, such as vertex and propagator gates V and P. We show how the quantum circuit may compute simultaneous amplitudes in the phase space and how to reach the full integrated cross section from the outputs. In addition to this, we also show how the circuit is able to simultaneously isolate the interference effects of the contributing diagrams by a simple basis rotation. The circuit design is made to be general, and thus this work constitutes a step towards the implementation of arbitrary scattering process computations and efficient interference analyses.
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BibTeX
@misc{bashore2026quantum,
title = {{Quantum computation of partonic Drell-Yan scattering cross sections and interference effects}},
author = {Erik Bashore and Stefano Moretti and Timea Vitos},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28057},
eprint = {2608.28057},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28057},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum computation of partonic Drell-Yan scattering cross sections and interference effects
AU - Erik Bashore
AU - Stefano Moretti
AU - Timea Vitos
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28057
UR - https://arxiv.org/abs/2608.28057
AB - We probe the possibilities of efficiently constructing simple Feynman diagrams into quantum devices. More precisely, we study Drell-Yan lepton pair creation at the partonic level of the form q qbar -> gamma/Z -> l- l+. We develop quantum gates that build up the relevant diagrams using simple Feynman rules, such as vertex and propagator gates V and P. We show how the quantum circuit may compute simultaneous amplitudes in the phase space and how to reach the full integrated cross section from the outputs. In addition to this, we also show how the circuit is able to simultaneously isolate the interference effects of the contributing diagrams by a simple basis rotation. The circuit design is made to be general, and thus this work constitutes a step towards the implementation of arbitrary scattering process computations and efficient interference analyses.
ER -