The Possibility of Factorizable Contextual Hidden Variable Theories
نویسندگان
چکیده
Considering an extended type of Bohm’s version of EPR thought experiment, we derive Bell’s inequality for the case of factorizable contextual hidden variable theories which are consistent with the predictions of quantum theory. Regarding factorizability as a necessary but not sufficient condition for non-contextuality, we show that factorizability is consistent with contextuality, even for the ordinary Bohm’s version of EPR thought experiment.
منابع مشابه
A Unified Sheaf-Theoretic Account Of Non-Locality and Contextuality
A number of landmark results in the foundations of quantum mechanics show that quantum systems exhibit behaviour that defies explanation in classical terms, and that cannot be accounted for in such terms even by postulating “hidden variables” as additional unobserved factors. Much has been written on these matters, but there is surprisingly little unanimity even on basic definitions or the inte...
متن کاملar X iv : 0 80 7 . 24 13 v 2 [ qu an t - ph ] 1 0 N ov 2 00 8 A non - local hidden - variable model that violates Leggett - type inequalities
Recent experiments of Gröblacher et al. proved the violation of a Leggett-type inequality that was claimed to be valid for a broad class of non-local hidden-variable theories. The impossibility of constructing a non-local and realistic theory, unless it entails highly counter-intuitive features, seems thus to have been experimentally proved. This would bring us close to a definite refutation of...
متن کاملCritique of Putnam's Quantum Logic
Putnam gives a strongly realist account of quantum logic. This has been criticised as suggesting a hidden variable interpretation for quantum mechanics. Friedman and Glymour have done this in the framework of noncontextual hidden variable theories, which, however, does not fully represent Putnam's ideas. Here Putnam's approach to quantum logic is understood in terms of contextual truth-value as...
متن کاملMGP versus Kochen-Specker condition in hidden variables theories
Hidden variables theories for quantum mechanics are usually assumed to satisfy the KS condition. The Bell-Kochen-Specker theorem then shows that these theories are necessarily contextual. But the KS condition can be criticized from an operational viewpoint, which suggests that a weaker condition (MGP) should be adopted in place of it. This leads one to introduce a class of hidden parameters the...
متن کاملNon-Contextuality, Finite Precision Measurement and the Kochen-Specker Theorem
Meyer originally raised the question of whether non-contextual hidden variable models can, despite the Kochen-Specker theorem, simulate the predictions of quantum mechanics to within any fixed finite experimental precision (Meyer, D. 1999. Phys. Rev. Lett., 83, 3751-3754). Meyer’s result was extended by Kent (Kent, A. 1999. Phys. Rev. Lett., 83, 37553757). Clifton and Kent later presented const...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008