Greenberger-Horne-Zeilinger Nonlocality in Arbitrary Even Dimensions

2004/08/31 by Jinhyoung Lee, Seung-Woo Lee, M. S. Kim · 2 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.1103/physreva.73.032316

published as Phys. Rev. A 73, 032316 (2006) · slightly revised and final version published in PRA

openalex publication_date 2006/03/15 · arxiv created 2006/03/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize Greenberger-Horne-Zeilinger (GHZ) nonlocality to every even-dimensional and odd-partite system. For the purpose we employ concurrent observables that are incompatible and nevertheless have a common eigenstate. It is remarkable that a tripartite system can exhibit the genuinely high-dimensional GHZ nonlocality.

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Quantum secret sharing
• On the Einstein Podolsky Rosen paradox
• Quantum Theory: Concepts and Methods

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• Generalized structure of Bell inequalities for bipartite arbitrary-dimensional systems