Please use this identifier to cite or link to this item:
|Title:||Entanglement cost of quantum channels||Authors:||Berta, M.
|Issue Date:||2012||Citation:||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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Apr 14, 2019
checked on Apr 19, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.