Abstract
Theoretical methods for empirical state determination of entangled two-level systems are analyzed in relation to information theory. We show that hidden variable theories would lead to a Shannon index of correlation between the entangled subsystems which is larger than that predicted by quantum mechanics. Canonical representations which have maximal correlations are treated by the use of Schmidt and Hilbert-Schmidt decomposition of the entangled states, including especially the Bohm singlet state and the GHZ entangled states. We show that quantum mechanics does not violate locality, but does violate realism.
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Ben-Aryeh, Y., Mann, A. & Sanders, B.C. Empirical State Determination of Entangled Two-Level Systems and Its Relation to Information Theory. Foundations of Physics 29, 1963–1975 (1999). https://doi.org/10.1023/A:1018850602867
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DOI: https://doi.org/10.1023/A:1018850602867