Geometrical causality: casting Feynman integrals into quantum algorithms

  1. Sborlini, German Fabricio Roberto 12
  1. 1 Universidad de Salamanca
    info

    Universidad de Salamanca

    Salamanca, España

    ROR https://ror.org/02f40zc51

  2. 2 Universidad Europea de Valencia
    info

    Universidad Europea de Valencia

    Valencia, España

Aldizkaria:
Suplemento de la Revista Mexicana de Física

ISSN: 2683-2585

Argitalpen urtea: 2023

Alea: 4

Zenbakia: 2

Orrialdeak: 021103-1-021103-7

Mota: Artikulua

DOI: 10.31349/SUPLREVMEXFIS.4.021103 GOOGLE SCHOLAR lock_openSarbide irekia editor

Beste argitalpen batzuk: Suplemento de la Revista Mexicana de Física

Laburpena

The calculation of higher-order corrections in quantum field theories is a challenging task. In particular, dealing with multiloop and multilegFeynman amplitudes leads to severe bottlenecks and a very fast scaling of the computational resources required to perform the calculation.With the purpose of overcoming these limitations, we discuss efficient strategies based on the loop-tree duality, its manifestly causal repre-sentation and the underlying geometrical interpretation. In concrete, we exploit the geometrical causal selection rules to define a Hamiltonianwhose ground-state is directly related to the terms contributing to the causal representation. In this way, the problem can be translated into aminimization one and implemented in a quantum computer to search for a potential speed-up