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Journal of Jilin University(Science Edition)

Relationship between SG phase Operators and q=0 quon Operators

Chong Li

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

The relationship between SG phase operators and q=0 quon operators was investigated. SG phase states and q=0 quon coherent states have the same form.

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The Susskind-Glogower (SG) phase operator is shown to be the maximum-likelihood (ML) quantum measurement of optical phase for all input states. The ML performance of the SG measurement is optimized, at average photon number N, by an input state with number-ket representation of the form ${\mathrm{\ensuremath{\psi}}}_{\mathrm{n}}$=A/(1+n), for 0\ensuremath{\le}n\ensuremath{\le}M<\ensuremath{\infty}. The optimum phase-error behavior, measured by the reciprocal peak-likelihood, is proportional to 1/N2{\mathrm{N}}^{2}N2, as opposed to the 1/ \ensuremath{\surd}N and 1/N dependences of coherent-state and optimum squeezed-state interferometers.