Defining quantum divergences via convex optimization

We introduce a new quantum Rényi divergence $D^{\#}_{\alpha}$ for $\alpha \in (1,\infty)$ defined in terms of a convex optimization program. This divergence has several desirable computational and operational properties such as an efficient semidefinite programming representation for states and chan...

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Bibliographic Details
Main Authors: Hamza Fawzi, Omar Fawzi
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2021-01-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2021-01-26-387/pdf/