Geometrical causality: casting Feynman integrals into quantum algorithms
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1
Universidad de Salamanca
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2
Universidad Europea de Valencia
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Universidad Europea de Valencia
Valencia, España
ISSN: 2683-2585
Argitalpen urtea: 2023
Alea: 4
Zenbakia: 2
Orrialdeak: 021103-1-021103-7
Mota: Artikulua
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