Abstract
The information-theoretic Bell inequalities of Braunstein and Caves are studied in relation to the concept of the relative probability measure which one allows to overcome the limitations of the considered theorem.
Similar content being viewed by others
References
S. L. Braunstein and C. M. Caves,Phys. Rev. Lett. 61, 662 (1988); inProceedings, International Symposium on Spacetime Symmetries, Y. S. Kim and W. W. Zachary, eds.,Nucl. Phys. B (Proceedings Supplements Section) 6, 211 (1989); inBell's Theorem, Quantum Theory and Conceptions of the Universe, M. Kafatos, ed. (Kluwer, Dordrecht, 1989), p. 27; inProceedings, 3rd International Symposium on the Foundations of Quantum Mechanics (Japanese Physical Society, Tokyo, 1989);Ann. Phys. (N.Y.) 202, 22 (1990).
J. S. Bell,Physics 1, 195 (1964).
R. P. Feynman,Int. J. Theor. Phys. 21, 467 (1982).
A. A. Tyapkin and M. Vinduška,Found. Phys. 21, 185 (1991).
M. Vinduška, On the impossibility to create quantum mechanics with computers,Communications JINR, E5-91-485, Dubna (1991).
T. W. Marshall and E. Santos,Phys. Rev. A 39, 6271 (1989). A. Garuccio, V. L. Lepore, and F. Selleri,Found. Phys. 20, 117 (1990).
J. P. Vigier,Ann. Phys. (N.Y.) 45, 61 (1988). C. Dewdney, P. R. Holland, A. Kyprianidis, and J. P. Vigier,Nature 336, 536 (1988).
J. von Neumann,Mathematische Grundlagen der Quantenmechanik (Springer, Berlin, 1932).
D. Bohm and J. Bub,Rev. Mod. Phys. 38, 453 (1966).
J. S. Bell,Rev. Mod. Phys. 38, 447 (1966). J. S. Bell,Found. Phys. 12, 989 (1982).
B. S. Cirelsson,Lett. Math. Phys. 4, 93 (1980).
S. J. Summers and R. Werner,Comm. Math. Phys. 110, 247 (1987);J. Math. Phys. 28, 2440 and 2448 (1987).
Author information
Authors and Affiliations
Additional information
I esteem it an honor to dedicate this paper to Sir Karl Popper on the occasion of his 90th birthday.
Rights and permissions
About this article
Cite this article
Vinduška, M. Information-theoretic bell inequalities and the relative measure of probability. Found Phys 22, 343–355 (1992). https://doi.org/10.1007/BF01883900
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01883900