Bounds on entanglement distillation and secret key agreement for quantum broadcast channels

Kaushik P. Seshadreesan, Masahiro Takeoka, Mark M. Wilde

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

The squashed entanglement of a quantum channel is an additive function of quantum channels, which finds application as an upper bound on the rate at which secret key and entanglement can be generated when using a quantum channel a large number of times in addition to unlimited classical communication. This quantity has led to an upper bound of $\log ((1+\eta )/(1-\eta ))$ on the capacity of a pure-loss bosonic channel for such a task, where $\eta $ is the average fraction of photons that make it from the input to the output of the channel. The purpose of this paper is to extend these results beyond the single-sender single-receiver setting to the more general case of a single sender and multiple receivers (a quantum broadcast channel). We employ multipartite generalizations of the squashed entanglement to constrain the rates at which secret key and entanglement can be generated between any subset of the users of such a channel, along the way developing several new properties of these measures. We apply our results to the case of a pure-loss broadcast channel with one sender and two receivers.

Original languageEnglish
Article number7438836
Pages (from-to)2849-2866
Number of pages18
JournalIEEE Transactions on Information Theory
Volume62
Issue number5
DOIs
Publication statusPublished - 2016 May
Externally publishedYes

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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