期刊
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION
卷 7, 期 2, 页码 475-491出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219749909005298
关键词
Entanglement monotone; max-relative entropy of entanglement; log robustness; asymptotic continuity; regularized relative entropy of entanglement
Properties of the max-relative entropy of entanglement, defined in Ref. 10, 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, defined in Ref. 7. 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 regularized relative entropy of entanglement.
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