Quantifying Quantum Correlations in Annihilation Photon Pairs under Compton Scattering

• URL: http://arxiv.org/abs/2606.29035v1
• Date: Sat, 27 Jun 2026 18:09:00 GMT
• Title: Quantifying Quantum Correlations in Annihilation Photon Pairs under Compton Scattering
• Abstract summary: We study polarization entanglement and quantum coherence in 511 keV photon pairs produced by para-positronium decay.<n>Our results provide a unified description of polarization-dependent decoherence in photon pairs and clarify the roles of entanglement and coherence in realistic two-photon interactions.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a theoretical study of the evolution of polarization entanglement and quantum coherence in 511 keV photon pairs produced by para-positronium decay during successive Compton scattering events. We start with a maximally entangled Bell state and employ the generalized Stokes-Mueller formalism to derive the two-photon density matrix following single-, double-, and triple-Compton scattering, explicitly considering both polar and azimuthal scattering geometries. Using this framework, we quantify the degradation of quantum correlations through concurrence (as a measure of entanglement) and the $l_1$-norm (as a measure of coherence). Our results demonstrate that entanglement is highly sensitive to the scattering geometry and disappears near right-angle scattering, while quantum coherence remains finite even in regimes where entanglement vanishes completely. These findings provide a unified description of polarization-dependent decoherence in annihilation photon pairs and clarify the distinct roles of entanglement and coherence in realistic two-photon interactions. These results are relevant for quantum-enhanced positron emission tomography and highlight the persistence of quantum resources in scattering-dominated media.

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