info:eu-repo/semantics/article
Generalized coherence vector applied to coherence transformations and quantifiers
Fecha
2021-01-11Registro en:
Bosyk, Gustavo Martin; Losada, Marcelo Adrián; Massri, Cesar Dario; Freytes Solari, Hector Carlos; Sergioli, Giuseppe; Generalized coherence vector applied to coherence transformations and quantifiers; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 103; 1; 11-1-2021; 12403 1 - 12403 14
2469-9926
2469-9934
CONICET Digital
CONICET
Autor
Bosyk, Gustavo Martin
Losada, Marcelo Adrián
Massri, Cesar Dario
Freytes Solari, Hector Carlos
Sergioli, Giuseppe
Resumen
One of the main problems in any quantum resource theory is the characterization of the conversions between resources by means of the free operations of the theory. In this work we advance on this characterization within the quantum coherence resource theory by introducing the generalized coherence vector of an arbitrary quantum state. The generalized coherence vector is a probability vector that can be interpreted as a concave roof extension of the pure states coherence vector. We show that it completely characterizes the notions of being incoherent, as well as being maximally coherent. Moreover, using this notion and the majorization relation, we obtain a necessary condition for the conversion of general quantum states by means of incoherent operations. These results generalize the necessary conditions of conversions for pure states given in the literature, and show that the tools of the majorization lattice are useful also in the general case. Finally, we introduce a family of coherence quantifiers by considering concave and symmetric functions applied to the generalized coherence vector. We compare this proposal with the convex roof measure of coherence and others quantifiers given in the literature.