Brandão, Fernando G.S.L.
- Working Paper
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, our result has consequences for the study of the strong converse property of the quantum capacity. More precisely, we show that any coding scheme sending quantum information through a quantum channel at a rate larger than the entanglement cost of the channel is exponentially 'bad' in the number of channel uses. Secondly, and independently of the first application, 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 Show more
Organisational unit03879 - Christandl, Matthias (SNF-Professur)
NotesSubmitted 26 August 2011.
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