Integral formula for quantum relative entropy implies data processing inequality

Integral representations of quantum relative entropy, and of the directional second and higher order derivatives of von Neumann entropy, are established, and used to give simple proofs of fundamental, known data processing inequalities: the Holevo bound on the quantity of information transmitted by...

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Bibliographic Details
Main Author: Péter E. Frenkel
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2023-09-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2023-09-07-1102/pdf/

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