| Article | |
| Report number | arXiv:2401.03023 |
| Title | Loop Feynman integration on a quantum computer |
| Author(s) | de Lejarza, Jorge J. Martínez (Valencia U., IFIC) ; Cieri, Leandro (Valencia U., IFIC) ; Grossi, Michele (CERN) ; Vallecorsa, Sofia (CERN) ; Rodrigo, Germán (Valencia U., IFIC) |
| Publication | 2024-10-01 |
| Imprint | 2024-01-05 |
| Number of pages | 9 |
| In: | Phys. Rev. D 110 (2024) 074031 |
| DOI | 10.1103/PhysRevD.110.074031 (publication) |
| Subject category | quant-ph ; General Theoretical Physics ; hep-ph ; Particle Physics - Phenomenology |
| Abstract | This work investigates in detail the performance and advantages of a new quantum Monte Carlo integrator, dubbed Quantum Fourier Iterative Amplitude Estimation (QFIAE), to numerically evaluate for the first time loop Feynman integrals in a near-term quantum computer and a quantum simulator. In order to achieve a quadratic speedup, QFIAE introduces a Quantum Neural Network (QNN) that efficiently decomposes the multidimensional integrand into its Fourier series. For a one-loop tadpole Feynman diagram, we have successfully implemented the quantum algorithm on a real quantum computer and obtained a reasonable agreement with the analytical values. One-loop Feynman diagrams with more external legs have been analyzed in a quantum simulator. These results thoroughly illustrate how our quantum algorithm effectively estimates loop Feynman integrals and the method employed could also find applications in other fields such as finance, artificial intelligence, or other physical sciences. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2024 authors (License: CC BY 4.0), sponsored by SCOAP³ |
Corresponding record in: Inspire
Record created 2024-01-19, last modified 2024-11-22