Autor(es)

Carmo, Rafael S. ; Soares-Pinto, Diogo O.

• 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