info:eu-repo/semantics/article
Generalized Holevo theorem and distinguishability notions
Fecha
2020-01Registro en:
Bussandri, Diego; Lamberti, Pedro Walter; Generalized Holevo theorem and distinguishability notions; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 53; 4; 1-2020; 1-14
1751-8113
CONICET Digital
CONICET
Autor
Bussandri, Diego
Lamberti, Pedro Walter
Resumen
We present a generalization of the Holevo theorem through distance measures between quantum states, showing that each of these leads to an alternative Holevo theorem. This result involves two quantities: the distance-based Holevo quantity and the generalized accessible information I d. Additionally, we consider three distinguishability notions relevant to quantum cryptography, applying the resulting new inequalities to qubits ensembles. For some well-known distinguishability notion, we show that for any ensemble of two qubits the generalized quantities - I d and - are equal. On the other hand, by using a paradigmatic example, we show that the quantities corresponding to the Bures distance captures not only the non-commutativity of the ensemble but also its purity.