Three-party entanglement from positronium

2000/07/20 by A. Acin, A. Acín, José I. Latorre +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Dismissal #Greenberger–Horne–Zeilinger state #Law #Mathematics #Photon #Physics #Political science #Positronium #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Realization (probability) #State (computer science) #Statistics #W state #hep-ph #quant-ph

paper · pdf · doi:10.1103/physreva.63.042107

published as Phys.Rev. A63 (2001) 042107 · REVTEX, 13 pages, 3 figures

arxiv created 2000/07/20 · openalex publication_date 2001/03/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The decay of orthopositronium into three photons produces a physical realization of a pure state with three-party entanglement. Its quantum correlations are analyzed using recent results on quantum information theory, looking for the final state that has the maximal amount of Greenberger, Horne, and Zeilinger like correlations. This state allows for a statistical dismissal of local realism stronger than the one obtained using any entangled state of two spin one-half particles.

Citations

• Group-theoretical Structure of the Entangled States of N Identical Particles
• Three qubits can be entangled in two inequivalent ways
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Violation of Bell's inequality under strict Einstein locality conditions
• Bell's theorem. Experimental tests and implications
• Generalized Schmidt Decomposition and Classification of Three-Quantum-Bit States
• Distributed Entanglement

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