Generalized coherence vector: definition and properties

BOSYK, G. M.

Cagliari

Seminario; ALOPHIS Weekly Seminars; 2020

Universita di Cagliari

One of the main problems of any quantum resource theory is the characterization of the conversions between resources by the free operations of the theory.In this talk, I will advance on this problem within the quantum coherence resource theory. In particular, I will introduce a definition of coherence vector for an arbitrary quantum state. I will show that this coherence vector fully characterizes the notions of being incoherent, as well as being maximally coherent.In addition, exploiting properties of the majorization lattice, I will show a necessary condition for the conversion of general quantum states through incoherent operations. Finally, I will show how to obtain a new family of coherence quantifiers based on this generalized coherence vector.