Quantum Wiretap Channel With Non-Uniform Random Number and Its Exponent and Equivocation Rate of Leaked Information

A usual code for quantum wiretap channel requires an auxiliary random variable subject to the perfect uniform distribution. However, it is difficult to prepare such an auxiliary random variable. We propose a code that requires only an auxiliary random variable subject to a non-uniform distribution i...

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Bibliographic Details
Published inIEEE transactions on information theory Vol. 61; no. 10; pp. 5595 - 5622
Main Author Hayashi, Masahito
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Communication channels
Electronic eavesdropping
Entropy
Information rates
Leaking of information
Mutual information
Probability distribution
Protocols
Quantum physics
Random variables
Security
universal hash function
quantum wiretap channel
non-asymptotic setting
Exponential rate
secret key agreement
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ISSN0018-9448
1557-9654
DOI10.1109/TIT.2015.2464215

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Summary:A usual code for quantum wiretap channel requires an auxiliary random variable subject to the perfect uniform distribution. However, it is difficult to prepare such an auxiliary random variable. We propose a code that requires only an auxiliary random variable subject to a non-uniform distribution instead of the perfect uniform distribution. Further, we evaluate the exponential decreasing rate of leaked information and derive its equivocation rate. For practical constructions, we also discuss the security when our code consists of a linear error correcting code.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2015.2464215