RT Journal Article T1 Optimum phase-shift estimation and the quantum description of the phase difference A1 Luis Aina, Alfredo A1 Peřina, J. AB The problem of a correct quantum description of the phase difference is examined from the perspective of parameter estimation theory. It is shown that an optimum phase-shift measurement defines a phase difference operator which coincides with other approaches to the same problem. We also study the fundamental limit to the accuracy of a phase difference shift detection. We show that this limit can be reached by a measurement having countable outcomes despite the fact that a phase shift can take any value. We show that this is the case of the phase difference operator defined by an optimum phase-shift measurement. PB American Physical Society SN 1050-2947 YR 1996 FD 1996-11 LK https://hdl.handle.net/20.500.14352/59726 UL https://hdl.handle.net/20.500.14352/59726 LA eng NO © 1996 The American Physical Society. A.L. acknowledges the support of a grant from the Dirección General de Investigación Científica y Técnica del Ministerio Español de Educación y Ciencia and the kind hospitality from the Optics Department of the Palacký University. NO Ministerio de Educación y Ciencia (MEC), España NO Dirección General de Investigación Científica y Técnica (DGICYT), España DS Docta Complutense RD 11 abr 2025