Quantum Estimation in QED Scattering

Fuente: arXiv
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Main Authors: Asenov, Preslav, Zhang, WenHan, Serafini, Alessio
Format: Preprint
Published: 2025
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author Asenov, Preslav
Zhang, WenHan
Serafini, Alessio
author_facet Asenov, Preslav
Zhang, WenHan
Serafini, Alessio
contents We tackle the issue of estimating dynamical parameters in quantum electrodynamics. We numerically compute the quantum Fisher information matrix (QFIM) of physical parameters in electron-muon and Compton scattering at tree level. In particular, we consider the estimation of centre-of-mass three-momentum magnitude and polar scattering angle through measurements on the internal degrees of freedom (helicity or polarisation) of the scattered particles. Computations are carried out for pure and maximally mixed initial states. The QFIM values are then used to compute the quantum Cramér-Rao lower bounds on the estimations at hand. Further, we compare such ultimate bounds to the classical Fisher information of local polarisation or helicity degrees of freedom.
format Preprint
id arxiv_https___arxiv_org_abs_2506_23197
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Estimation in QED Scattering
Asenov, Preslav
Zhang, WenHan
Serafini, Alessio
Quantum Physics
High Energy Physics - Phenomenology
We tackle the issue of estimating dynamical parameters in quantum electrodynamics. We numerically compute the quantum Fisher information matrix (QFIM) of physical parameters in electron-muon and Compton scattering at tree level. In particular, we consider the estimation of centre-of-mass three-momentum magnitude and polar scattering angle through measurements on the internal degrees of freedom (helicity or polarisation) of the scattered particles. Computations are carried out for pure and maximally mixed initial states. The QFIM values are then used to compute the quantum Cramér-Rao lower bounds on the estimations at hand. Further, we compare such ultimate bounds to the classical Fisher information of local polarisation or helicity degrees of freedom.
title Quantum Estimation in QED Scattering
topic Quantum Physics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.23197