Secure Communication Over Fully Quantum Gel'fand-Pinsker Wiretap Channel

In this work we study the problem of secure communication over a fully quantum Gel'fand-Pinsker channel. The best known achievability rate for this channel model in the classical case was proven by Goldfeld, Cuff and Permuter, and here we generalize their result. One key feature of the results...

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Bibliographic Details
Published in:IEEE transactions on information theory 2020-09, Vol.66 (9), p.5548-5566
Main Authors: Anshu, Anurag, Hayashi, Masahito, Warsi, Naqueeb Ahmad
Format: Article
Language:English
Subjects:
Bivariate analysis
channel coding
Channel models
channel state information
Communication channels
Decoding
Encoding
Hilbert space
information security
Quantum entanglement
quantum mechanics
Registers
Wiretapping
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Summary:In this work we study the problem of secure communication over a fully quantum Gel'fand-Pinsker channel. The best known achievability rate for this channel model in the classical case was proven by Goldfeld, Cuff and Permuter, and here we generalize their result. One key feature of the results obtained in this work is that all the bounds are based on error exponents. We obtain our achievability result via the technique of simultaneous pinching. This in turn allows us to show the existence of a simultaneous decoder. Further, to obtain our encoding technique and to prove the security feature of our coding scheme we prove a bivariate classical-quantum channel resolvability lemma and a conditional classical-quantum channel resolvability lemma. As a byproduct of the achievability result obtained in this work, we also obtain an achievable rate for a fully quantum Gel'fand-Pinsker channel in the absence of Eve. The form of this achievable rate matches with its classical counterpart. The Gel'fand-Pinsker channel model had earlier only been studied for the classical-quantum case and in the case where Alice (the sender) and Bob (the receiver) have shared entanglement between them.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2020.3005015