dorsal/arxiv
View SchemaCausality, Joint measurement and Tsirelson's bound
| Authors | Sujit K. Choudhary, Guruprasad Kar, Samir Kunkri, Ramij Rahaman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608100 |
| URL | https://arxiv.org/abs/quant-ph/0608100 |
| DOI | 10.1016/j.physleta.2007.06.041 |
| Journal | Physics Letters A 371 (2007) 395-398 |
Abstract
Tsirelson showed that $2\sqrt{2}$ is the maximum value that CHSH expression can take for quantum-correlations [B. S.Tsirelson, Lett. Math. Phys, 4 (1980) 93]. This bound simply follows from the algebra of observables. Recently by exploiting the physical structure of quantum mechanics like unitarity and linearity, Buhrman and Massar [H. Buhrman and S.Massar, Phys. Rev. A, 72 (2005) 052103] have established that violation of Tsirelson's bound in quantum mechanics will imply signalling. We prove the same with the help of realistic joint measurement in quantum mechanics and a Bell's inequality which has been derived under the assumption of existence of joint measurement and no signalling condition.
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"abstract": "Tsirelson showed that $2\\sqrt{2}$ is the maximum value that CHSH expression\ncan take for quantum-correlations [B. S.Tsirelson, Lett. Math. Phys, 4 (1980)\n93]. This bound simply follows from the algebra of observables. Recently by\nexploiting the physical structure of quantum mechanics like unitarity and\nlinearity, Buhrman and Massar [H. Buhrman and S.Massar, Phys. Rev. A, 72 (2005)\n052103] have established that violation of Tsirelson\u0027s bound in quantum\nmechanics will imply signalling. We prove the same with the help of realistic\njoint measurement in quantum mechanics and a Bell\u0027s inequality which has been\nderived under the assumption of existence of joint measurement and no\nsignalling condition.",
"arxiv_id": "quant-ph/0608100",
"authors": [
"Sujit K. Choudhary",
"Guruprasad Kar",
"Samir Kunkri",
"Ramij Rahaman"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2007.06.041",
"journal_ref": "Physics Letters A 371 (2007) 395-398",
"title": "Causality, Joint measurement and Tsirelson\u0027s bound",
"url": "https://arxiv.org/abs/quant-ph/0608100"
},
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