A finite Gilbert-Varshamov bound for pure stabilizer quantum codes

A finite Gilbert-Varshamov bound for pure stabilizer quantum codes

A finite Gilbert-Varshamov (GV) bound for pure stabilizer (binary and nonbinary) quantum error correcting codes is presented in analogy to the GV bound for classical codes by using several enumerative results in finite unitary geometry. From this quantum GV bound we obtain several new binary quantum...

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Veröffentlicht in:IEEE transactions on information theory 2004-12, Vol.50 (12), p.3323-3325
Hauptverfasser: Feng, K., Ma, Z.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Codes
Coding, codes
Error correction codes
Exact sciences and technology
Finite fields
finite unitary geometry
Geometry
Hamming weight
Information security
Information theory
Information, signal and communications theory
Laboratories
quantum codes
quantum Gilbert-Varshamov (GV) bound
Quantum mechanics
Quantum theory
Signal and communications theory
Sufficient conditions
Telecommunications and information theory
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Zusammenfassung:A finite Gilbert-Varshamov (GV) bound for pure stabilizer (binary and nonbinary) quantum error correcting codes is presented in analogy to the GV bound for classical codes by using several enumerative results in finite unitary geometry. From this quantum GV bound we obtain several new binary quantum codes in a nonconstructive way having better parameters than the known codes.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2004.838088