Quantifying quantum reference frames in composed systems: Local, global, and mutual asymmetries

Autor(es)

Martinelli, Tiago ; Soares-Pinto, Diogo O.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW A; v. 99, n. 4, p. 10-pg., 2019-04-26.

Resumo

The Page-Wootters mechanism questioned the fundamental nature of time in quantum physics. The mechanism explored the notion that a given physical quantity is always defined and measured relative to a reference frame, in general, not explained in the theoretical description of quantum physical experiments. Recently, the resource theory of asymmetry deals explicitly with the physical conditions necessary for a quantum system to serve as a good reference frame. Nonetheless, to quantify a quantum reference frame in relation to another one, it is important to establish an internal description of quantum theory, i.e., without the need for a classical reference frame. In this work, we address this issue with the concept of mutual asymmetry and use this machinery in the Page-Wootters mechanism by identifying the concept of mutual asymmetry as mutual or internal coherence. To do so, the notion of quantum coherence in relation to a quantum reference frame is revisited and a quantifier is proposed in this scenario. Also, this opens space to investigate the link of internal coherence and correlations, as proposed by Page and Wootters, under a resource theory approach. (AU)

• Processo FAPESP: 17/07973-5 - Termodinâmica e tecnologias de informação utilizando sistemas quânticos de variáveis contínuas
• Beneficiário: Gabriel Teixeira Landi
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• 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