Max- Relative Entropy of Entanglement, alias Log Robustness

Details Max- Relative Entropy of Entanglement, alias Log Robustness Max- Relative Entropy of Entanglement, alias Log Robustness

2008-07-16

arxiv.org/abs/0807.2536v4

International Journal of Quantum Information, vol 7, no.2, 475-491, 2009

Physics

Quantum Physics

Published version; 9 pages, no figures

Scientific paper

Properties of the max- relative entropy of entanglement are investigated, and its significance as an upper bound to the one shot rate for perfect entanglement dilution, under a particular class of quantum operations, is discussed. It is shown that it is in fact equal to another known entanglement monotone, namely the log robustness. It is known that the latter is not asymptotically continuous and it is not known whether it is weakly additive. However, by suitably modifying the max- relative entropy of entanglement we obtain a quantity which is seen to satisfy both these properties. In fact, the modified quantity is shown to be equal to the regularised relative entropy of entanglement.

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