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quantum contextuality
Quantum contextuality is a foundational concept in quantum theory. Quantum Contextuality means that the measurement result of a quantum observable depends on the physical arrangement of a second commuting observable being measured with it (previous or simultaneous) . Such measurement results differ when the measurement of quantum observables are prepared with respect to different commuting observables.
==Gleason's theorem==
(詳細はAndrew Gleason proposed a theorem showing for the first time that Quantum Contextuality exists only in dimensions greater than two.〔Gleason, A. M, "Measures on the closed subspaces of a Hilbert space", ''Journal of Mathematics and Mechanics'' 6, 885–893 (1957).〕 This was pointed out already by Niels Bohr in his paper〔N. Bohr, "Can Quantum-Mechanical Description of Physical Reality be Considered Complete?", ''Phys. Rev.'' 48, 696–702 (1935).〕 which says that EPR-like paradoxes occur in the quantum systems without the need for an entangled or composite systems.
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