DocumentCode :
1153288
Title :
A low-rate bound on the reliability of a quantum discrete memoryless channel
Author :
Barg, Alexander
Author_Institution :
Lucent Technol. Bell Labs., Murray Hill, NJ, USA
Volume :
48
Issue :
12
fYear :
2002
fDate :
12/1/2002 12:00:00 AM
Firstpage :
3096
Lastpage :
3100
Abstract :
We extend a low-rate improvement of the random coding bound on the reliability of a classical discrete memoryless channel (DMC) to its quantum counterpart. The key observation that we make is that the problem of bounding below the error exponent for a quantum channel relying on the class of stabilizer codes is equivalent to the problem of deriving error exponents for a certain symmetric classical channel.
Keywords :
coding errors; decoding; error correction codes; error statistics; memoryless systems; quantum communication; random codes; decoding; error exponent; error exponents; error probability; low-rate bound; low-rate random coding bound; quantum discrete memoryless channel reliability; quantum error-correcting codes; quantum information theory; stabilizer codes; Code standards; Concrete; Decoding; Error correction codes; Error probability; Galois fields; Information theory; Memoryless systems; Quantum mechanics; Upper bound;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2002.805080
Filename :
1077801
Link To Document :
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