dorsal/arxiv
View SchemaGreenberger-Horne-Zeilinger nonlocality for continuous variable systems
| Authors | Zeng-Bing Chen, Yong-De Zhang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103082 |
| URL | https://arxiv.org/abs/quant-ph/0103082 |
| DOI | 10.1103/PhysRevA.65.044102 |
| Journal | Phys. Rev. A 65, 044102 (2002) |
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.
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"abstract": "As a development of our previous work, this paper is concerned with the\nGreenberger-Horne-Zeilinger (GHZ) nonlocality for continuous variable cases.\nThe discussion is based on the introduction of a pseudospin operator, which has\nthe same algebra as the Pauli operator, for each of the $N$ modes of a light\nfield. Then the Bell-CHSH (Clauser, Horne, Shimony and Holt) inequality is\npresented for the $N$ modes, each of which has a continuous degree of freedom.\nFollowing Mermin\u0027s argument, it is demonstrated that for $N$-mode\nparity-entangled GHZ states (in an infinite-dimensional Hilbert space) of the\nlight field, the contradictions between quantum mechanics and local realism\ngrow exponentially with $N$, similarly to the usual $N$-spin cases.",
"arxiv_id": "quant-ph/0103082",
"authors": [
"Zeng-Bing Chen",
"Yong-De Zhang"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.044102",
"journal_ref": "Phys. Rev. A 65, 044102 (2002)",
"title": "Greenberger-Horne-Zeilinger nonlocality for continuous variable systems",
"url": "https://arxiv.org/abs/quant-ph/0103082"
},
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