Quantum mutual information, coherence and unified relations of top quarks in QCD processes

Abstract

As the most massive particle in the Standard Model, the top quark's exceptionally short lifetime preserves its spin polarization information through direct decay, making it an ideal system for probing quantum correlations in high-energy physics. In this letter, we presents a comprehensive investigation of quantum correlations in top quark-antiquark pairs produced through QCD. We employ multiple quantum information theoretic measures including quantum mutual information, relative entropy of coherence, complete complementarity relations, and the intrinsic relationship, establishing their dependence on kinematic variables. Furthermore, we find that for quarks and gluons initial mixing, as the probability of gluons Wgg increases, the maximum of the left-hand side of the intrinsic relation also increases. We thus believe the current findings are beneficial to insight into the systemic quantumness in QCD.

arXiv comment9 pages, 9 figures, comments are welcomed. Accepted by Physics Letters B

References in corpus (18)

• Quantum entanglement
• Estimating Mutual Information
• Quantifying Coherence
• Entanglement detection
• Quantum Coherence as a Resource
• Observation of the Top Quark
• The Uncertainty Principle in the Presence of Quantum Memory
• Robustness of coherence: An operational and observable measure of quantum coherence
• Conjectured Strong Complementary Information Tradeoff
• Entanglement and quantum tomography with top quarks at the LHC
• Quantum mutual information and the one-time pad
• Quantum information with top quarks in QCD
• Quantum discord and steering in top quarks at the LHC
• The Search for Top Squarks at the Fermilab Tevatron Collider
• Complete complementarity relations for multipartite pure states
• Measurement of spin correlations in t t-bar production using the matrix element method in the muon + jets final state in pp collisions at sqrt(s) = 8 TeV
• Estimating Quantum Mutual Information Through a Quantum Neural Network
• Entropic uncertainty relations and quantum Fisher information of top quarks in a large hadron collider