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Article
Report number arXiv:2409.12236
Title Quantum integration of decay rates at second order in perturbation theory
Author(s) de Lejarza, Jorge J. Martínez (Valencia U., IFIC) ; Rentería-Estrada, David F. (Valencia U., IFIC) ; Grossi, Michele (CERN) ; Rodrigo, Germán (Valencia U., IFIC)
Publication 2025-02-12
Imprint 2024-09-18
Number of pages 6
Note 6 pages (5+1), 5 figures, 1 table
In: Quantum Sci. Technol. 10 (2025) 025026
DOI 10.1088/2058-9565/ada9c5
Subject category hep-ph ; Particle Physics - Phenomenology ; quant-ph ; General Theoretical Physics
Abstract We present the first quantum computation of a total decay rate in high-energy physics at second order in perturbative quantum field theory. This work underscores the confluence of two recent cutting-edge advances. On the one hand, the quantum integration algorithm Quantum Fourier Iterative Amplitude Estimation (QFIAE), which efficiently decomposes the target function into its Fourier series through a quantum neural network before quantumly integrating the corresponding Fourier components. On the other hand, causal unitary in the loop-tree duality (LTD), which exploits the causal properties of vacuum amplitudes in LTD to coherently generate all contributions with different numbers of final-state particles to a scattering or decay process, leading to singularity-free integrands that are well suited for Fourier decomposition. We test the performance of the quantum algorithm with benchmark decay rates in a quantum simulator and in quantum hardware, and find accurate theoretical predictions in both settings.
Copyright/License preprint: (License: arXiv nonexclusive-distrib 1.0)
publication: © 2025 The Author(s) (License: CC-BY-4.0)



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