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Quantifying resources for the Page-Wootters mechanism: Shared asymmetry as relative entropy of entanglement

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Autor(es):
Carmo, Rafael S. ; Soares-Pinto, Diogo O.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW A; v. 103, n. 5, p. 13-pg., 2021-05-18.
Resumo

Recently, some attention has been given to the so-called Page-Wootters mechanism of quantum clocks. Among the various proposals to explore the mechanism using more modern techniques, some have chosen to use a quantum information perspective, defining and using informational measures to quantify how well a quantum system can stand as a reference frame for other quantum system. In this work, we explore the proposal based on a resource theory of asymmetry, known as mutual or shared asymmetry, which actually is equivalent to the approach from coherence theory in the case of interest here: quantum reference frames described by the U(1) compact group. We extend some previous results in the literature about shared asymmetry and the Page-Wootters mechanism to more general cases, culminating in the enunciation of a theorem relating shared asymmetry of a bipartite state rho(SR) with the relative entropy of entanglement of internal states rho(M) on the charge sectors of the Hilbert space H-S circle times H-R. Using this result, we reinterpret the relation between the Page-Wootters mechanism and entanglement, and we also open some paths to further studies. (AU)

Processo FAPESP: 17/03727-0 - Características quânticas de sistemas compostos: geometria, dinâmica e termodinâmica
Beneficiário:Diogo de Oliveira Soares Pinto
Modalidade de apoio: Auxílio à Pesquisa - Regular