Generalized coherence vector: definition and applications

BOSYK, G M

Napoles

Conferencia; 13th Italian Quantum Information Science Conference; 2021

Università degli Studi di Napoli Federico II

A notion of coherence vector of a general quantum state is introduced on the framework of quantumcoherence resource theory [1]. This generalized coherence vector completely characterizes the notionsof being incoherent, as well as being maximally coherent. Moreover, using this notion and themajorization relation, a necessary condition for the conversion of general quantum states by meansof incoherent operations is obtained. Finally, a new family of coherence monotones based on thecoherence vector is introduced.[1] G.M. Bosyk, et al., Phys. Rev. A 103, 012403 (2021)