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Symmetry, entanglement, and the S-matrix
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Symmetry, entanglement, and the S-matrix
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We present a general framework connecting global symmetries to the relativistic $S$-matrix through the lens of quantum information theory. Analyzing the 2-to-2 scattering of particles of any helicity, we systematically characterize relativistic scattering amplitudes as quantum gates in the bipartite space of states with a discrete quantum number. This formalism naturally recovers and significantly extends previous results on entanglement suppression of the $S$-matrix, providing a comprehensive approach for studying the emergence of symmetries from an information-theoretic perspective. As a central result, we show that constraining the $S$-matrix to the span of minimally entangling operators is equivalent to realizing an emergent $SU(N)$ global symmetry.
Forward citations
Cited by 8 Pith papers
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Magic without a phase: phase-independent stabilizer R\'enyi entropy in gluon scattering
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Higgs scattering in SMEFT is analyzed with von Neumann entropy, linear entropy, and concurrence as momentum-isospin entanglement measures, determined by Wilson coefficients of dimension-6 and dimension-8 operators, re...
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Collider scattering processes such as electron-positron annihilation to muon pairs can be represented as quantum circuits with unitary and non-unitary components.
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Qubit entanglement from forward scattering
In perturbative relativistic 2→2 scattering the concurrence of the traced-out qubit density matrix depends at leading order on the real part of the inelastic forward amplitude.
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Local Minimum of Spin-Sector Magic at the CP-Conserving Point in Low-Energy Neutron-Proton Scattering
Within a restricted low-energy spin-sector ansatz for n-p scattering, direction-averaged magic is locally minimized at the CP-conserving point heta-bar=0 when the effective phase equals heta/4 or lies in specific windows.
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Under Wigner's SU(4) symmetry the neutron-proton scattering amplitude generates no new quantum resources while same-nucleon channels do due to identical-particle constraints.
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QED scattering processes modeled as quantum maps from discrete symmetries preserve maximal entanglement for fermions and converge iterations to pure maximally entangled states.
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