Causality, Joint measurement and Tsirelson’s bound

نویسندگان

  • Sujit K. Choudhary
  • Guruprasad Kar
  • Samir Kunkri
  • Ramij Rahaman
چکیده

Tsirelson showed that 2 √ 2 is the maximum value that CHSH expression can take for quantumcorrelations [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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تاریخ انتشار 2008