| Full text | |
| Author(s): |
Carmo, Rafael S.
;
Soares-Pinto, Diogo O.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW A; v. 103, n. 5, p. 13-pg., 2021-05-18. |
| Abstract | |
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) | |
| FAPESP's process: | 17/03727-0 - Quantumness of composite systems: geometry, dynamics and thermodynamics |
| Grantee: | Diogo de Oliveira Soares Pinto |
| Support Opportunities: | Regular Research Grants |