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Journal of Physics A Mathematical and General

Reply to the comment on Correlative amplitude operational phase entanglement embodied by the EPR-pair eigenstate

Hong-Yi Fan, Hu Hai-Peng

Published Dec 12, 2002• 2 citations
Publisher

Abstract

We compare and contrast our amplitude–phase entanglement with that of Luis in his comment. Luis's entangled state is defined in a finite Fock space. His comment on the operational phase operator seems to be contradicting the original meaning of Mandel et al .
DOI
10.1088/0305-4470/36/1/321

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In a recent paper in this journal Fan (Fan H 2002 J. Phys. A: Math. Gen. 35 1007 ) discards the possibility of using a genuine phase-difference operator to investigate number-phase entanglement because of the lack of unitarity of the Susskind–Glogower phase operators. However, Fan overlooked the existence of a bona fide unitary operator exponential of the phase difference. Here we find the amplitude–phase maximally entangled states as the simultaneous eigenstates of the total number and the phase-difference operators.
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