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- W3099686768 abstract "The data processing inequality states that the quantum relative entropy between two states $rho$ and $sigma$ can never increase by applying the same quantum channel $mathcal{N}$ to both states. This inequality can be strengthened with a remainder term in the form of a distance between $rho$ and the closest recovered state $(mathcal{R} circ mathcal{N})(rho)$, where $mathcal{R}$ is a recovery map with the property that $sigma = (mathcal{R} circ mathcal{N})(sigma)$. We show the existence of an explicit recovery map that is universal in the sense that it depends only on $sigma$ and the quantum channel $mathcal{N}$ to be reversed. This result gives an alternate, information-theoretic characterization of the conditions for approximate quantum error correction." @default.
- W3099686768 created "2020-11-23" @default.
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- W3099686768 date "2018-08-06" @default.
- W3099686768 modified "2023-10-16" @default.
- W3099686768 title "Universal Recovery Maps and Approximate Sufficiency of Quantum Relative Entropy" @default.
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- W3099686768 doi "https://doi.org/10.1007/s00023-018-0716-0" @default.
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