dorsal/arxiv
View SchemaA simple proof of the converse of Hardy's theorem
| Authors | Jose L. Cereceda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907094 |
| URL | https://arxiv.org/abs/quant-ph/9907094 |
Abstract
In this paper we provide a simple proof of the fact that for a system of two spin-1/2 particles, and for a choice of observables, there is a unique state which shows Hardy-type nonlocality. Moreover, an explicit expression for the probability that an ensemble of particle pairs prepared in such a state exhibits a Hardy-type nonlocality contradiction is given in terms of two independent parameters related to the observables involved. Incidentally, a wrong statement expressed in Mermin's proof of the converse [N.D. Mermin, Am. J. Phys. 62, 880 (1994)] is pointed out.
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"abstract": "In this paper we provide a simple proof of the fact that for a system of two\nspin-1/2 particles, and for a choice of observables, there is a unique state\nwhich shows Hardy-type nonlocality. Moreover, an explicit expression for the\nprobability that an ensemble of particle pairs prepared in such a state\nexhibits a Hardy-type nonlocality contradiction is given in terms of two\nindependent parameters related to the observables involved. Incidentally, a\nwrong statement expressed in Mermin\u0027s proof of the converse [N.D. Mermin, Am.\nJ. Phys. 62, 880 (1994)] is pointed out.",
"arxiv_id": "quant-ph/9907094",
"authors": [
"Jose L. Cereceda"
],
"categories": [
"quant-ph"
],
"title": "A simple proof of the converse of Hardy\u0027s theorem",
"url": "https://arxiv.org/abs/quant-ph/9907094"
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