Using quantum algorithms to explore Feynman integral calculation

by German Sborlini (Deutsches Elektronen-Synchrotron DESY)

Tuesday 22 Feb 2022, 11:10 → 12:10 Europe/Zurich

Aula L (Dipartimento di Fisica, Università degli Studi di Milano)

Quantum computing is evolving very fast. Soon, novel devices will be available and new kinds of calculations will be possible. In this direction, we decided to explore the application of quantum algorithms to the calculation of Feynman integrals. As a first attempt, we analyzed the reconstruction of the causal representation of multi-loop Feynman integrals. We developed a proof-of-concept inspired by Grover's algorithm to efficiently identify all the flux configurations compatible with causality. Results for selected topological families of diagrams are presented, and we discuss possible extensions of this approach.

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