Abstract | ||
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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. |
Year | DOI | Venue |
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2004 | 10.1109/TIT.2004.838088 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
new binary quantum code,finite gilbert-varshamov,finite fields,better parameter,classical code,varshamov,quantum gv,error correction codes,65,nonbinary error correcting codes,bound,pure stabilizer quantum code,finite unitary geometry,quantum codes,pure stabilizer quantum codes,finite gilbert-varshamov bound,quantum gilbert&#,binary codes,enumerative result,pure stabilizer,quantum error,gv,211,geometry,known code,finite field | Discrete mathematics,Finite field,Gilbert–Varshamov bound,Combinatorics,Binary code,Error detection and correction,Linear code,Quantum information science,Quantum convolutional code,Finite geometry,Mathematics | Journal |
Volume | Issue | ISSN |
50 | 12 | 0018-9448 |
Citations | PageRank | References |
28 | 1.69 | 4 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Keqin Feng | 1 | 686 | 41.07 |
Zhi Ma | 2 | 28 | 2.37 |