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Greenberger-Horne-Zeilinger nonlocality for continuous variable systems | | Zeng-Bing Chen
; Yong-De Zhang
; | | Date: |
14 Mar 2001 | | Journal: | Phys. Rev. A 65, 044102 (2002) | | Subject: | quant-ph | | Abstract: | As a development of our previous work, this paper is concerned with the Greenberger-Horne-Zeilinger (GHZ) nonlocality for continuous variable cases. The discussion is based on the introduction of a pseudospin operator, which has the same algebra as the Pauli operator, for each of the $N$ modes of a light field. Then the Bell-CHSH (Clauser, Horne, Shimony and Holt) inequality is presented for the $N$ modes, each of which has a continuous degree of freedom. Following Mermin’s argument, it is demonstrated that for $N$-mode parity-entangled GHZ states (in an infinite-dimensional Hilbert space) of the light field, the contradictions between quantum mechanics and local realism grow exponentially with $N$, similarly to the usual $N$-spin cases. | | Source: | arXiv, quant-ph/0103082 | | Services: | Forum | Review | PDF | Favorites | |
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