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Quantum Magic in Quantum Electrodynamics

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arxiv 2503.03098 v1 pith:TSEPIITE submitted 2025-03-05 quant-ph cond-mat.stat-mechhep-phhep-thnucl-th

Quantum Magic in Quantum Electrodynamics

classification quant-ph cond-mat.stat-mechhep-phhep-thnucl-th
keywords magicquantumstateselectrodynamicsgeneratelow-energymaximalonly
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In quantum computing, non-stabilizerness -- the magic -- refers to the computational advantage of certain quantum states over classical computers and is an essential ingredient for universal quantum computation. Employing the second order stabilizer R\'enyi entropy to quantify magic, we study the production of magic states in Quantum Electrodynamics (QED) via 2-to-2 scattering processes involving electrons and muons. Considering all 60 stabilizer initial states, which have zero magic, the angular dependence of magic produced in the final states is governed by only a few patterns, both in the non-relativistic and the ultra-relativistic limits. Some processes, such as the low-energy $e^-\mu^-\to e^-\mu^-$ and Bhabha scattering $e^-e^+\to e^-e^+$, do not generate magic at all. In most cases the largest magic generated is significantly less than the maximal possible value of $\log (16/7) \approx 0.827$. The only instance where QED is able to generate maximal magic is the low-energy $\mu^-\mu^+\to e^-e^+$, in the limit $m_e/m_\mu \to 0$, which is well approximated in nature. Our results suggest QED, although capable of producing maximally entangled states easily, may not be an efficient mechanism for generating quantum advantages.

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Cited by 11 Pith papers

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

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

    hep-th 2026-07 conditional novelty 7.0

    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. Computing quantum magic of state vectors

    quant-ph 2026-01 accept novelty 7.0

    Efficient algorithms compute stabilizer Rényi entropy and mana for quantum states from vectors at O(N d^{2N}) cost using fast Hadamard transform, with open-source implementation.

  3. Automated computation of spin-density matrices and quantum observables for collider physics

    hep-ph 2025-10 unverdicted novelty 7.0

    An automated framework in MadGraph5_aMC@NLO computes tree-level production spin-density matrices and quantum observables for generic collider processes, with validation on ttbar and VV and new applications to multi-to...

  4. Operational interpretation of the Stabilizer Entropy

    quant-ph 2025-07 unverdicted novelty 7.0

    The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.

  5. Decoherence effects in entangled fermion pairs at colliders

    quant-ph 2025-04 unverdicted novelty 7.0

    Calculates decoherence from radiation on a Bell-state fermion pair by mapping integrated Altarelli-Parisi splitting functions to Kraus operators of an open quantum system.

  6. High Energy Photon Polarimetry at Lepton Colliders: Quantum Information from Converted Photons

    hep-ph 2026-07 conditional novelty 6.5

    Converted photons in Belle II enable high-significance measurements of Bell nonlocality, discord, concurrence, magic and steerability for macroscopically separated GeV diphotons, provided opening-angle resolution reac...

  7. A collider as a quantum computer

    hep-ph 2026-05 unverdicted novelty 6.0

    Collider scattering processes such as electron-positron annihilation to muon pairs can be represented as quantum circuits with unitary and non-unitary components.

  8. Local Minimum of Spin-Sector Magic at the CP-Conserving Point in Low-Energy Neutron-Proton Scattering

    hep-ph 2026-06 unverdicted novelty 5.0

    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.

  9. Quantum Resources and Wigner Symmetry in Nucleon-Nucleon Scattering from Effective Field Theory

    nucl-th 2026-06 unverdicted novelty 5.0

    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.

  10. Symmetry Breaking as Quantum Gate: Entropy and Weak Mixing Angle

    hep-ph 2026-05 unverdicted novelty 4.0

    Correspondence shown between Rényi mutual information variation across EWSB and stabilizer Rényi entropy in tree-level 2→2 scatterings, both depending identically on sin²θ_W after angular averaging due to Yukawa inser...

  11. Quantum entanglement in electron-nucleus collisions: Role of the linearly polarized gluon distribution

    hep-ph 2026-04 unverdicted novelty 4.0

    The linearly polarized gluon distribution enhances entanglement of heavy quark pairs in electron-nucleus collisions when total and relative transverse momenta are orthogonal.