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arXiv · 2605.22070

Symmetry Breaking as Quantum Gate: Entropy and Weak Mixing Angle

Qing-Hong Cao·Yandong Liu·Haotian Qi·Hao Zhang·Haoran Zhao
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Abstract

We establish a correspondence between two independent entropic probes -- the variation of R\'{e}nyi mutual information (RMI) across the electroweak symmetry breaking (EWSB) transition and the stabilizer R\'enyi entropy (SRE) -- in tree-level $2\to 2$ elastic scatterings. After angular averaging, the RMI (helicity basis) and the SRE (fixed beam basis) exhibit identical dependence on $\sin^2\theta_W$ within each neutral-current channel. We trace this correspondence to a common physical origin that it's the Yukawa mass insertion acts as a $-\mathrm{i}Y$ quantum gate in chirality space. Minimizing entropies across all processes yields $\sin^2\theta_W$ values matching purely axial vector-like couplings in $Z$ boson exchanged channel.

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Qing-Hong Cao, Yandong Liu, Haotian Qi, Hao Zhang, Haoran Zhao. 2026-05-21. Symmetry Breaking as Quantum Gate: Entropy and Weak Mixing Angle. https://arxiv.org/abs/2605.22070

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