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Greenberger-Horne-Zeilinger Paradox in Tripartite Systems of Arbitrary Dimension | Jinhyoung Lee
; Seung-Woo Lee
; M. S. Kim
; | Date: |
11 Aug 2004 | Subject: | quant-ph | Abstract: | We present a generalized Greenberger-Horne-Zeilinger (GHZ) paradox in a tripartite system with each subsystem of arbitrary even dimension. Contrary to conventional approaches of compatible observables, in order to prove Bell’s theorem, we employ concurrent observables, that are mutually incompatible but still have a common eigenstate such that they are involved in elements of physical reality. It is proved that our formulation of the generalized GHZ paradox is genuinely multi-dimensional. The present approach enables an m-partite system to exhibit the truly d-dimensional GHZ paradox for d even and m odd integers. As a special case it covers previous works which require a (d+1)-partite system. | Source: | arXiv, quant-ph/0408072 | Services: | Forum | Review | PDF | Favorites |
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