Coherence Vector: State transformations and measures

BOSYK, G M

Cordoba

Conferencia; XI Conference on Quantum Foundations - Contextuality, coherence and quantumness; 2022

FAMAF

A notion of coherence vector of a general quantum state is introduced on the frame-work of quantum coherence resource theory. This generalized coherence vector com-pletely characterizes the notions of being incoherent, as well as being maximallycoherent. Moreover, using this notion and the majorization relation, a necessarycondition for the conversion of general quantum states by means of incoherent op-erations is obtained. Finally, a new family of coherence monotones based on thecoherence vector is introduced.