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Correlative amplitude–operational phase entanglement embodied by the EPR-pair eigenstate |ηrangle

Hongyi Fan

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After a penetrating analysis of the known number–phase commutative relations we find that the common eigenvector |ηrangle of two particles' relative coordinate and total momentum also embodies the entanglement with respect to the correlative amplitude–operational phase. Based on the fact that the number-difference operator is the canonical conjugate to the Noh–Fougères–Mandel operational phase operator, the corresponding entanglement is also briefly discussed.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

03.67.Mn Entanglement measures, witnesses, and other characterizations

MSC

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

81Qxx General mathematical topics and methods in quantum theory

39A70 Difference operators (See also 47B39)

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 4 (1 February 2002)

Received 20 August 2001, in final form 20 November 2001

Published 18 January 2002



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