Information Capacity of State Ensembles and Observables

• Published in: Lobachevskii journal of mathematics Vol. 45; no. 6; pp. 2509 - 2526
• Main Author: Holevo, A. S.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.06.2024; Springer Nature B.V
• Subjects: Algebra; Analysis; Geometry; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Probability Theory and Stochastic Processes; observable; positive operator-valued measure; accessible information; Gaussian maximizers; quantum state ensemble; capacity

Given a quantum state ensemble and quantum observable one can define the Shannon information and introduce the two fundamental information quantities. The accessible information of the ensemble is defined as supremum of over all observables . The information capacity of the observable is essentially...