dorsal/arxiv
View SchemaQuantum perfect correlations
| Authors | Masanao Ozawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501081 |
| URL | https://arxiv.org/abs/quant-ph/0501081 |
| DOI | 10.1016/j.aop.2005.08.007 |
| Journal | Annals of Physics 321 (2006) 744-769 |
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.
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"abstract": "The notion of perfect correlations between arbitrary observables, or more\ngenerally arbitrary POVMs, is introduced in the standard formulation of quantum\nmechanics, and characterized by several well-established statistical\nconditions. The transitivity of perfect correlations is proved to generally\nhold, and applied to a simple articulation for the failure of Hardy\u0027s\nnonlocality proof for maximally entangled states. The notion of perfect\ncorrelations between observables and POVMs is used for defining the notion of a\nprecise measurement of a given observable in a given state. A longstanding\nmisconception on the correlation made by the measuring interaction is resolved\nin the light of the new theory of quantum perfect correlations.",
"arxiv_id": "quant-ph/0501081",
"authors": [
"Masanao Ozawa"
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"quant-ph"
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"doi": "10.1016/j.aop.2005.08.007",
"journal_ref": "Annals of Physics 321 (2006) 744-769",
"title": "Quantum perfect correlations",
"url": "https://arxiv.org/abs/quant-ph/0501081"
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