Grover's Quantum Search Algorithm of Causal Multiloop Feynman Integrals
Quantum Physics
2022-11-29 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
A proof-of-concept application of a quantum algorithm to multiloop Feynman integrals in the Loop-Tree Duality (LTD) framework is applied to a representative four-loop topology. Bootstrapping causality in the LTD formalism, is a suitable problem to address with quantum computers given the straightforward possibility to encode the two on-shell states of a propagator on the two states of a qubit. A modification of Grover's quantum search algorithm is developed and the quantum algorithm is successfully implemented on IBM Quantum and QUTE simulators.
Cite
@article{arxiv.2211.14359,
title = {Grover's Quantum Search Algorithm of Causal Multiloop Feynman Integrals},
author = {Andrés E. Rentería-Olivo},
journal= {arXiv preprint arXiv:2211.14359},
year = {2022}
}
Comments
4 pages, 1 figure, Poster contribution for the Proceedings of Science (PoS) of ICHEP 2022