Complementarity for generalized observables

We examine basic properties of complementarity by using the most general description of quantum observables as positive-operator measures. We show that, in general, two observables can be complementary or not depending on the measure of fluctuations adopted and that complementarity is not a symmetri...

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Detalles Bibliográficos
Autor: Luis Aina, Alfredo
Tipo de recurso: artículo
Fecha de publicación:2002
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59675
Acceso en línea:https://hdl.handle.net/20.500.14352/59675
Access Level:acceso abierto
Palabra clave:535
Quantum-phase measurement
Welcher weg measurements
Which-way information
Wave-particle duality
Atom interferometer
Fringe visibility
Optical-phase
Uncertainty
Interference
State
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario:We examine basic properties of complementarity by using the most general description of quantum observables as positive-operator measures. We show that, in general, two observables can be complementary or not depending on the measure of fluctuations adopted and that complementarity is not a symmetric relation. This occurs because the states that determine the measured statistics do not necessarily coincide with the minimum uncertainty states for the same observable. We also show that there are observables without a complementary observable and that complementarity is not preserved by the Neumark extensions.