Grover's Quantum Search Algorithm of Causal Multiloop Feynman Integrals

• URL: http://arxiv.org/abs/2211.14359v1
• Date: Fri, 25 Nov 2022 19:40:51 GMT
• Title: Grover's Quantum Search Algorithm of Causal Multiloop Feynman Integrals
• Authors: Andr\'es E. Renter\'ia-Olivo
• Abstract summary: A proof-of-concept application of a quantum algorithm to multiloop Feynman integrals in the Loop-Tree Duality (LTD) framework is applied. A modification of Grover's quantum search algorithm is developed and the quantum algorithm is successfully implemented on IBM Quantum and QUTE simulators.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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