Role of Measurement Incompatibility and Uncertainty in Determining Nonlocality

Guruprasad Kar, Sibasish Ghosh, Sujit K. Choudhary and Manik Banik
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Guruprasad Kar: Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700108, India
Sibasish Ghosh: Optics and Quantum Information Group, The Institute of Mathematical Sciences, C. I. T. Campus, Taramani, Chennai 600113, India
Sujit K. Choudhary: Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, Odisha, India
Manik Banik: Optics and Quantum Information Group, The Institute of Mathematical Sciences, C. I. T. Campus, Taramani, Chennai 600113, India

Mathematics, 2016, vol. 4, issue 3, 1-13

Abstract: It has been recently shown that measurement incompatibility and fine grained uncertainty—a particular form of preparation uncertainty relation—are deeply related to the nonlocal feature of quantum mechanics. In particular, the degree of measurement incompatibility in a no-signaling theory determines the bound on the violation of Bell-CHSH inequality, and a similar role is also played by (fine-grained) uncertainty along with steering, a subtle non-local phenomenon. We review these connections, along with comments on the difference in the roles played by measurement incompatibility and uncertainty. We also discuss why the toy model of Spekkens (Phys. Rev. A 75, 032110 (2007)) shows no nonlocal feature even though steering is present in this theory.

Keywords: joint measurability; incompatibility; uncertainty relations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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