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Quantum perfect correlations | | Masanao Ozawa
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16 Dec 2004 | | Subject: | quant-ph | | Abstract: | The notion of perfect correlations between arbitrary observables, or more generally arbitrary POVMs, is introduced in the standard formulation of quantum mechanics, and characterized by several well-established statistical conditions. The transitivity of perfect correlations is proved to generally hold, and applied to a simple articulation for the failure of Hardy’s nonlocality proof for maximally entangled states. The notion of perfect correlations between observables and POVMs is used for defining the notion of a precise measurement of a given observable in a given state. A longstanding misconception on the correlation made by the measuring interaction is resolved in the light of the new theory of quantum perfect correlations. | | Source: | arXiv, quant-ph/0501081 | | Services: | Forum | Review | PDF | Favorites | |
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