Document Type

Article

Publication Date

10-1-2018

Abstract

The data processing inequality states that the quantum relative entropy between two states ρ and σ can never increase by applying the same quantum channel N to both states. This inequality can be strengthened with a remainder term in the form of a distance between ρ and the closest recovered state (R∘ N) (ρ) , where R is a recovery map with the property that σ= (R∘ N) (σ). We show the existence of an explicit recovery map that is universal in the sense that it depends only on σ and the quantum channel N to be reversed. This result gives an alternate, information-theoretic characterization of the conditions for approximate quantum error correction.

Publication Source (Journal or Book title)

Annales Henri Poincare

First Page

2955

Last Page

2978

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