Monday, March 26, 2012

1203.5116 (Gerardo Adesso et al.)

Theory of Gaussian quantum information and correlations using Renyi-2

Gerardo Adesso, Davide Girolami, Alessio Serafini
We demonstrate that the Renyi-2 entropy provides a natural measure of information for any multimode Gaussian state of quantum harmonic systems, operationally linked to the phase-space Shannon sampling entropy of the Wigner distribution of the state. We prove that, in the Gaussian scenario, such an entropy satisfies the strong subadditivity inequality, a key requirement for quantum information theory. This allows us to define and analyze measures of Gaussian entanglement and more general quantum correlations based on such an entropy, which are shown to satisfy relevant properties such as monogamy.
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