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Grover's quantum search algorithm of causal multiloop Feynman integrals.
Andr'es E. Renter'ia-Olivo·November 22, 2022·DOI: 10.22323/1.414.1205
Physics
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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.