Please use this identifier to cite or link to this item: https://doi.org/10.1109/ISIT.2012.6284692
Title: Entanglement cost of quantum channels
Authors: Berta, M.
Christandl, M.
Brandao, F.G.S.L.
Wehner, S. 
Issue Date: 2012
Source: Berta, M.,Christandl, M.,Brandao, F.G.S.L.,Wehner, S. (2012). Entanglement cost of quantum channels. IEEE International Symposium on Information Theory - Proceedings : 900-904. ScholarBank@NUS Repository. https://doi.org/10.1109/ISIT.2012.6284692
Abstract: A natural question in characterizing the information theoretic power of quantum channels is to ask at what rate entanglement is needed in order to asymptotically simulate a quantum channel in the presence of free classical communication. We call this the entanglement cost of a channel, and prove a formula describing it for all channels. We discuss two applications. Firstly, we are able to link the security in the noisy-storage model to a problem of sending quantum rather than classical information through the adversary's storage device. This not only greatly improves the range of parameters where security could be shown previously, but allows us to prove security for storage devices for which no non-trivial statements were known before. Secondly, our result has consequences for the study of the strong converse quantum capacity. Here, we show that any coding scheme that sends quantum information through a quantum channel at a rate larger than the entanglement cost of the channel has an exponentially small fidelity. © 2012 IEEE.
Source Title: IEEE International Symposium on Information Theory - Proceedings
URI: http://scholarbank.nus.edu.sg/handle/10635/42046
ISBN: 9781467325790
DOI: 10.1109/ISIT.2012.6284692
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