Polarization, Maximal Concurrence, and Pure States in High-Energy Collisions

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Hauptverfasser: Liu, Yu-Xuan, Qi, Wei, He, Luo-Ting, Xiao, Bo-Wen
Format: Preprint
Veröffentlicht: 2026
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author Liu, Yu-Xuan
Qi, Wei
He, Luo-Ting
Xiao, Bo-Wen
author_facet Liu, Yu-Xuan
Qi, Wei
He, Luo-Ting
Xiao, Bo-Wen
contents We establish a quantitative relation between local spin polarization and quantum entanglement in two-qubit systems by deriving an upper bound on the concurrence at fixed local polarizations, showing that increasing polarization constrains the maximum achievable entanglement. We further demonstrate that this bound is saturated by pure states in certain cases with identical polarizations. As a concrete physical application, we consider the parity-violating process $e^+e^- \to Z^0 \to q\bar{q}$, which generates final-state spin polarization. We show that the maximal concurrence is attained in specific kinematic regions and is significantly reduced relative to the unpolarized case. These results establish a general, process-independent framework connecting local polarization, maximal entanglement, and the role of pure states.
format Preprint
id arxiv_https___arxiv_org_abs_2604_17756
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Polarization, Maximal Concurrence, and Pure States in High-Energy Collisions
Liu, Yu-Xuan
Qi, Wei
He, Luo-Ting
Xiao, Bo-Wen
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Theory
Quantum Physics
We establish a quantitative relation between local spin polarization and quantum entanglement in two-qubit systems by deriving an upper bound on the concurrence at fixed local polarizations, showing that increasing polarization constrains the maximum achievable entanglement. We further demonstrate that this bound is saturated by pure states in certain cases with identical polarizations. As a concrete physical application, we consider the parity-violating process $e^+e^- \to Z^0 \to q\bar{q}$, which generates final-state spin polarization. We show that the maximal concurrence is attained in specific kinematic regions and is significantly reduced relative to the unpolarized case. These results establish a general, process-independent framework connecting local polarization, maximal entanglement, and the role of pure states.
title Polarization, Maximal Concurrence, and Pure States in High-Energy Collisions
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Theory
Quantum Physics
url https://arxiv.org/abs/2604.17756