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Bibliographic Details
Main Authors: Dumitru, Adrian, Kolbusz, Eric
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2501.12312
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author Dumitru, Adrian
Kolbusz, Eric
author_facet Dumitru, Adrian
Kolbusz, Eric
contents Methods from Quantum Information Theory are used to scrutinize quantum correlations encoded in the two-quark density matrix over light-cone momentum fractions $x_1$ and $x_2$. A non-perturbative three quark model light-cone wavefunction predicts significant non-classical correlations associated with the "entanglement negativity" measure for asymmetric and small quark momentum fractions. We perform one step of QCD scale evolution of the entire density matrix, not just its diagonal (dPDF), by computing collinearly divergent corrections due to the emission of a gluon. Finally, we present first qualitative numerical results for single-step scale evolution of quantum entanglement correlations in double quark PDFs. At a higher $Q^2$ scale, the non-classical correlations manifest in the dPDF for nearly symmetric momentum fractions.
format Preprint
id arxiv_https___arxiv_org_abs_2501_12312
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum entanglement correlations in double quark PDFs
Dumitru, Adrian
Kolbusz, Eric
High Energy Physics - Phenomenology
Quantum Physics
Methods from Quantum Information Theory are used to scrutinize quantum correlations encoded in the two-quark density matrix over light-cone momentum fractions $x_1$ and $x_2$. A non-perturbative three quark model light-cone wavefunction predicts significant non-classical correlations associated with the "entanglement negativity" measure for asymmetric and small quark momentum fractions. We perform one step of QCD scale evolution of the entire density matrix, not just its diagonal (dPDF), by computing collinearly divergent corrections due to the emission of a gluon. Finally, we present first qualitative numerical results for single-step scale evolution of quantum entanglement correlations in double quark PDFs. At a higher $Q^2$ scale, the non-classical correlations manifest in the dPDF for nearly symmetric momentum fractions.
title Quantum entanglement correlations in double quark PDFs
topic High Energy Physics - Phenomenology
Quantum Physics
url https://arxiv.org/abs/2501.12312