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Symmetry, entanglement, and the $S$-matrix

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arxiv 2504.21079 v1 pith:TTNHE3HR submitted 2025-04-29 hep-th hep-phquant-ph

Navin McGinnis This is my paper · ORCID
classification hep-thhep-phquant-ph
keywords matrixquantumentanglementglobalrelativisticscatteringsymmetriessymmetry
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Magic without a phase: phase-independent stabilizer R\'enyi entropy in gluon scattering

    hep-th 2026-07 conditional novelty 7.0 of 10

    A phase-averaged stabilizer Rényi entropy is introduced for tree-level gluon scattering, with color-independent phase-independent magic that is larger in 3→2 than 2→2 and has a soft-limit lower bound in 2→3.

  2. Parameter Inference from Final-State Entanglement in Higgs Decays

    hep-ph 2025-11 conditional novelty 6.0 of 10

    With a spin/color-weighted entanglement entropy built from Higgs branching ratios, the Standard Model Higgs and W masses sit near the global maximum, and the preferred coupling ratio is SM-like.

  3. Entanglement, Yang-Mills, and the Scattering Matrix as an SU(N)-equivariant Kernel

    hep-ph 2025-11 conditional novelty 6.0 of 10

    SU(N) symmetry fixes the entangling power of 2→2 scattering: Yang-Mills adjoint scattering has a group-only entanglement maximum at 90° (3/4 for SU(2), ≈0.91 for SU(3)), and maximal-entanglement preservation selects t...

  4. Spin versus Magic: Lessons from Gluon and Graviton Scattering

    hep-th 2025-08 accept novelty 6.0 of 10

    For 2 to 2 scattering of massless spin-1/2 to spin-2 particles, the averaged generated magic decreases monotonically with spin, with maxima well below the two-qubit upper bound.

  5. Emergent symmetry in a two-Higgs-doublet model from quantum information and nonstabiliserness

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Imposing magic conservation, equivalent to commutativity of the initial density matrix and the T-matrix, in 2-to-2 two-Higgs-doublet scattering yields SO(8) for arbitrary initial states and SU(2)_R for definite-isospi...

  6. Characterizing entanglement dynamics in QED scattering processes

    quant-ph 2026-04 unverdicted novelty 5.0 of 10

    The spectrum of a QED scattering matrix predicts which maximally entangled fixed points repeated fermion scattering approaches, and how quickly.

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