Title :
A low-rate bound on the reliability of a quantum discrete memoryless channel
Author_Institution :
Lucent Technol. Bell Labs., Murray Hill, NJ, USA
fDate :
12/1/2002 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.805080