NDLI: Constant compositions in the sphere packing bound for classical-quantum channels

Content Provider	IEEE Xplore Digital Library
Author	Dalai, M. Winter, A.
Copyright Year	2014
Description	Author affiliation: Dept. of Inf. Eng., Univ. of Brescia, Brescia, Italy (Dalai, M.) \|\| ICREA & Fis. Teor.: Informacio i Fenomens Quantics, Univ. Autonoma de Barcelona, Barcelona, Spain (Winter, A.)
Abstract	The sphere packing bound, in the form given by Shannon, Gallager and Berlekamp, was recently extended to classical-quantum channels, and it was shown that this creates a natural setting for combining probabilistic approaches with some combinatorial ones such as the Lovász theta function. In this paper, we extend the study to the case of constant composition codes. We first extend the sphere packing bound for classical-quantum channels to this case, and we then show that the obtained result is related to a variation of the Lovász theta function studied by Marton. We then propose a further extension to the case of varying channels and codewords with a constant conditional composition given a particular sequence. This extension is then applied to auxiliary channels to deduce a bound which can be interpreted as an extension of the Elias bound.
Starting Page	151
Ending Page	155
File Size	427550
Page Count	5
File Format	PDF
ISBN	9781479951864
ISSN	21578117
DOI	10.1109/ISIT.2014.6874813
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-06-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Equations Upper bound Memoryless systems Reliability Mutual information Error probability
Content Type	Text
Resource Type	Article

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