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Quantum Magic in Quantum Electrodynamics
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Quantum Magic in Quantum Electrodynamics
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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.
Forward citations
Cited by 12 Pith papers
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Computing quantum magic of state vectors
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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.
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High Energy Photon Polarimetry at Lepton Colliders: Quantum Information from Converted Photons
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...
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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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Spin and quantum-information observables add only marginal statistical power beyond kinematic variables for isolating toponium in near-threshold top-pair events, but improve interpretability.
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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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Quantum Resources and Wigner Symmetry in Nucleon-Nucleon Scattering from Effective Field Theory
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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Symmetry Breaking as Quantum Gate: Entropy and Weak Mixing Angle
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