The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Enlargement of Calderbank-Shor-Steane quantum codes
Open accessAbstract
It is shown that a classical error correcting code C=[n,k,d] which contains its dual, C/sup /spl perp///spl sube/C, and which can be enlarged to C'=[n,k'>k+1,d'], can be converted into a quantum code of parameters [[n,k+k'-n,min(d,[3d'/2])]]. This is a generalization of a previous construction, it enables many new codes of good efficiency to be discovered. Examples based on classical Bose-Chaudhuri-Hocquenghem (BCH) codes are discussed.
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Cites
The Theory of Error-Correcting Codes
(1977) · North-Holland Mathematical Library · doi:10.1016/s0924-6509(08)x7030-8 · Cited by 10,760
Mixed-state entanglement and quantum error correction
Bennett, C. H., DiVincenzo, D. P., Smolin, J. A., & Wootters, W. K. (1996) · Physical Review A · doi:10.1103/physreva.54.3824 · Cited by 5,272
Scheme for reducing decoherence in quantum computer memory
Shor, P. W. (1995) · Physical Review A · doi:10.1103/physreva.52.r2493 · Cited by 4,479
Error Correcting Codes in Quantum Theory
Steane, A. M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.793 · Cited by 2,677
Self-citationGood quantum error-correcting codes exist
Calderbank, A. R., & Shor, P. W. (1996) · Physical Review A · doi:10.1103/physreva.54.1098 · Cited by 2,516 · cited 3×
“These are generated by the generator G = (Gx|Gz) which therefore must satisfy Hx ·G T z +Hz ·G T x = 0.”
BackgroundQuantum error correction via codes over GF(4)
Calderbank, A. R., Rains, E. M., Shor, P. M., & Sloane, N. J. A. (1998) · IEEE Transactions on Information Theory · doi:10.1109/18.681315 · Cited by 1,742
Theory of quantum error-correcting codes
Knill, E., & Laflamme, R. (1997) · Physical Review A · doi:10.1103/physreva.55.900 · Cited by 1,593
Steane, A. (1998) · Reports on Progress in Physics · doi:10.1088/0034-4885/61/2/002 · Cited by 1,391
Self-citationOn a class of error correcting binary group codes
Bose, R. C., & Ray-Chaudhuri, D. K. (1960) · Information and Control · doi:10.1016/s0019-9958(60)90287-4 · Cited by 1,367
Multiple-particle interference and quantum error correction
(1996) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1996.0136 · Cited by 1,284
Cited by
Nonbinary Stabilizer Codes Over Finite Fields
Ketkar, A., Klappenecker, A., Kumar, S., & Sarvepalli, P. K. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2006.883612 · Cited by 623
Metadata
- Authors
- Steane, A. M.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1999
- Volume
- 45
- Issue
- 7
- Pages
- 2492-2495
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2135537429
- Cited by
- 264
- References
- 25
- FWCI
- 3.66
- Type
- journal article
- Language
- en
- Open access
- green
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