Approximate recoverability and relative entropy II: 2-positive channels of general v. Neumann algebras

Autor:	Faulkner, Thomas, Hollands, Stefan
Rok vydání:	2020
Předmět:	Quantum Physics High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	We generalize our results in paper I in this series to quantum channels between general v. Neumann algebras, proving the approximate recoverability of states which undergo a small change in relative entropy through the channel. To this end, we derive a strengthened form of the quantum data processing inequality for the change in relative entropy of two states under a channel between two v. Neumann algebras. Compared to the usual inequality, there is an explicit lower bound involving the fidelity between the original state and a recovery channel. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.05513 Zobrazit plný text záznamu View this record from Arxiv