Show simple item record 2019-05-24T14:58:38Z 2019-05-24T14:58:38Z
dc.title History states of systems and operators en
dc.type Artículo es
dcterms.abstract We discuss some fundamental properties of discrete system-time history states. Such states arise for a quantum reference clock of finite dimension and lead to a unitary evolution of system states when satisfying a static discrete Wheeler-DeWitt-type equation. We consider the general case where system-clock pairs can interact, analyzing first their different representations and showing there is always a special clock basis for which the evolution for a given initial state can be described by a constant Hamiltonian H. It is also shown, however, that when the evolution operators form a complete orthogonal set, the history state is maximally entangled for any initial state, as opposed to the case of a constant H, and can be generated through a simple double-clock setting. We then examine the quadratic system-time entanglement entropy, providing an analytic evaluation and showing it satisfies strict upper and lower bounds determined by the energy spread and the geodesic evolution connecting the initial and final states. We finally show that the unitary operator that generates the history state can itself be considered as an operator history state, whose quadratic entanglement entropy determines its entangling power. Simple measurements on the clock enable one to efficiently determine overlaps between system states and also evolution operators at any two times. en
dcterms.extent 10 p. es
dcterms.issued 2018-09-12
dcterms.language Inglés es
dcterms.license Attribution-NonCommercial-NoDerivatives 4.0 Internacional es
dcterms.subject Quantum Entanglement en
dcterms.subject History States en
cic.version info:eu-repo/semantics/submittedVersion es Boette, Alan Pablo es Rossignoli, Raúl Dante es
cic.lugarDesarrollo Universidad Nacional de La Plata es
dcterms.subject.materia Ciencias Naturales y Exactas es
dcterms.identifier.url Recurso Completo es
dcterms.identifier.other DOI:10.1103/PhysRevA.98.032108 es
dcterms.isPartOf.issue vol. 98 es
dcterms.isPartOf.series Physical Review A es
cic.isPeerReviewed true es
cic.isFulltext true es


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