Abstract
Even though quantum correlations violate Bell's inequality, they satisfy weaker inequalities of a similar type. Some particular inequalities of this kind are proved here. The more general case of instruments located in different space-time regions is also discussed in some detail.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Clauser, J.F., and Shimony, A., ‘Bell's theorem: experimental tests and implications’, Rep. Progr. Phys. 41, 12, 1881–1927 (1978).
Kraus, K., ‘General state changes in quantum theory’, Ann. Phys. (N.Y.) 64, 2, 311–335 (1971).
Kraus, K., ‘Operations and effects in the Hilbert space formulation of quantum theory’, Lecture Notes in Physics, Springer-Verlag, 29, 206–229 (1974).
Hellwig, K.-E., and Kraus, K., ‘Formal description of measurements in local quantum field theory’, Phys. Rev. (D) 1, 2, 566–571 (1970).
Davies, E.B., and Lewis, J.T., ‘An operational approach to quantum probability’, Commun. Math. Phys. 17, 3, 239–260 (1970).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cirel'son, B.S. Quantum generalizations of Bell's inequality. Lett Math Phys 4, 93–100 (1980). https://doi.org/10.1007/BF00417500
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00417500