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Volumn 14, Issue 5, 2003, Pages 757-775

Efficient quantum circuits for non-qubit quantum error-correcting codes

Author keywords

Quantum circuits; quantum error correction

Indexed keywords


EID: 84892733534     PISSN: 01290541     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129054103002011     Document Type: Article
Times cited : (84)

References (29)
  • 1
    • 0030706543 scopus 로고    scopus 로고
    • Fault-tolerant quantum computation with constanterror
    • See also preprint quant-ph/9611025
    • D. Aharonov and M. Ben-Or, "Fault-Tolerant Quantum Computation with ConstantError", Proc. 29th Annual ACM Symposium on Theory of Computing, 1997, pp. 176-188. See also preprint quant-ph/9611025
    • (1997) Proc. 29th Annual ACM Symposium on Theory of Computing , pp. 176-188
    • Aharonov, D.1    Ben-Or, M.2
  • 2
    • 0035504720 scopus 로고    scopus 로고
    • Nonbinary quantum stabilizer codes
    • See also preprint quant-ph/0005008
    • A. Ashikhmin and E. Knill, "Nonbinary quantum stabilizer codes", IEEE Trans.Inform. Theory 47 (2001) 3065-3072. See also preprint quant-ph/0005008
    • (2001) IEEE Trans.Inform. Theory , vol.47 , pp. 3065-3072
    • Ashikhmin, A.1    Knill, E.2
  • 4
    • 0032121784 scopus 로고    scopus 로고
    • Quantum errorcorrection via codes over gf(4)
    • See also preprint quant-ph/9608006
    • A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane, "Quantum ErrorCorrection Via Codes over GF(4)", IEEE Trans. Inform. Theory 44 (1998) 1369-1387. See also preprint quant-ph/9608006
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 1369-1387
    • Calderbank, A.R.1    Rains, E.M.2    Shor, P.W.3    Sloane, N.J.A.4
  • 5
    • 0001398327 scopus 로고    scopus 로고
    • Good quantum error-correcting codes exist
    • See also preprint quant-ph/9512032
    • A. R. Calderbank and P. W. Shor, "Good quantum error-correcting codes exist", Phys. Rev. A 54 (1996) 1098-1105. See also preprint quant-ph/9512032
    • (1996) Phys. Rev. A , vol.54 , pp. 1098-1105
    • Calderbank, A.R.1    Shor, P.W.2
  • 6
    • 0010154970 scopus 로고    scopus 로고
    • Efficient computations of encodings for quantum errorcorrection
    • See also preprint quant-ph/9607030
    • R. Cleve and D. Gottesman, "Efficient computations of encodings for quantum errorcorrection", Phys. Rev. A 56 (1997) 76-82. See also preprint quant-ph/9607030
    • (1997) Phys. Rev. A , vol.56 , pp. 76-82
    • Cleve, R.1    Gottesman, D.2
  • 9
    • 0000132422 scopus 로고    scopus 로고
    • A class of quantum error-correcting codes saturating the quantumhamming bound
    • See also preprintquant-ph/9604038
    • D. Gottesman, "A Class of Quantum Error-Correcting Codes Saturating the QuantumHamming Bound", Phys. Rev. A 54 (1996) 1862-1868. See also preprintquant-ph/9604038
    • (1996) Phys. Rev. A , vol.54 , pp. 1862-1868
    • Gottesman, D.1
  • 12
    • 85060250901 scopus 로고    scopus 로고
    • Algorithmic aspects of quantum error-correcting codes
    • eds. R. K. Brylinski and G. Chen (Chapman &Hall/CRC, Boca Raton,)
    • M. Grassl, "Algorithmic aspects of quantum error-correcting codes", in Mathematicsof Quantum Computation, eds. R. K. Brylinski and G. Chen (Chapman &Hall/CRC, Boca Raton, 2002) pp. 223-252
    • (2002) Mathematicsof Quantum Computation , pp. 223-252
    • Grassl, M.1
  • 14
    • 25144456293 scopus 로고    scopus 로고
    • Cyclic quantum error-correcting codes and quantum shiftregisters
    • See also preprintquant-ph/9910061
    • M. Grassl and T. Beth, "Cyclic quantum error-correcting codes and quantum shiftregisters", Proc. R. Soc. London A 456 (2000) 2689-2706. See also preprintquant-ph/9910061
    • (2000) Proc. R. Soc. London A , vol.456 , pp. 2689-2706
    • Grassl, M.1    Beth, T.2
  • 15
    • 84957679077 scopus 로고    scopus 로고
    • Quantum reed-solomon codes
    • eds. M. Fossorier, H. Imai, S. Lin, and A. Poli, LNCS 1719 (Springer, Heidelberg. See also preprint quant-ph/9910059
    • M. Grassl, W. Geiselmann, and T. Beth, "Quantum Reed-Solomon Codes", Proc.Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC-13), eds. M. Fossorier, H. Imai, S. Lin, and A. Poli, LNCS 1719 (Springer, Heidelberg1999), pp. 231-244. See also preprint quant-ph/9910059
    • (1999) Proc.Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC-13) , pp. 231-244
    • Grassl, M.1    Geiselmann, W.2    Beth, T.3
  • 17
    • 0042542909 scopus 로고    scopus 로고
    • Separability criterion and inseparable mixed states with positivepartial transposition
    • See also preprintquant-ph/9703004
    • P. Horodecki, "Separability criterion and inseparable mixed states with positivepartial transposition", Physics Letters A 232 (1997) 333-339. See also preprintquant-ph/9703004
    • (1997) Physics Letters A , vol.232 , pp. 333-339
    • Horodecki, P.1
  • 19
    • 0004131380 scopus 로고
    • Bl-Wissenschaftsverlag, Mannheim
    • D. Jungnickel, Finite Fields (Bl-Wissenschaftsverlag, Mannheim, 1993)
    • (1993) Finite Fields
    • Jungnickel, D.1
  • 20
    • 0036671691 scopus 로고    scopus 로고
    • Beyond stabilizer codes i: Nice error bases
    • See also preprint quantph/0010082
    • A. Klappenecker and M. Rotteler, "Beyond Stabilizer Codes I: Nice Error Bases"IEEE Trans. Inform. Theory 48 (2002) 2392-2395. See also preprint quantph/0010082
    • (2002) IEEE Trans. Inform. Theory , vol.48 , pp. 2392-2395
    • Klappenecker, A.1    Rotteler, M.2
  • 22
    • 14844362515 scopus 로고    scopus 로고
    • Theory of quantum error-correcting codes
    • See also preprint quant-ph/9604034
    • E. Knill and R. Laflamme, "Theory of quantum error-correcting codes", Phys. Rev.A 55 (1997) 900-911. See also preprint quant-ph/9604034
    • (1997) Phys. Rev.A , vol.55 , pp. 900-911
    • Knill, E.1    Laflamme, R.2
  • 25
    • 33748938697 scopus 로고
    • American Mathematical Society, Providence
    • O. T. O'Meara, Symplectic Groups (American Mathematical Society, Providence, 1978)
    • (1978) Symplectic Groups
    • O'Meara, O.T.1
  • 26
    • 0033184975 scopus 로고    scopus 로고
    • Nonbinary quantum codes
    • See also preprint quant-ph/9703048
    • E. M. Rains, "Nonbinary Quantum Codes", IEEE Trans. Inform. Theory 45 (1999)1827-1832. See also preprint quant-ph/9703048
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 1827-1832
    • Rains, E.M.1
  • 27
    • 4043092517 scopus 로고    scopus 로고
    • Error correcting codes in quantum theory
    • A. M. Steane, "Error Correcting Codes in Quantum Theory", Phys. Rev. Letters77 (1996) 793-797
    • (1996) Phys. Rev. Letters , vol.77 , pp. 793-797
    • Steane, A.M.1
  • 28
    • 84978092325 scopus 로고
    • Reversible computing
    • eds. J. W. de Bakker and J. van Leeuwen, LNCS 85 (Springer, Heidelberg,)
    • T. Toffoli, "Reversible Computing", in Automata, Languages and Programming, eds. J. W. de Bakker and J. van Leeuwen, LNCS 85 (Springer, Heidelberg, 1980), pp. 632-644
    • (1980) Automata, Languages and Programming , pp. 632-644
    • Toffoli, T.1
  • 29
    • 84859625236 scopus 로고
    • Modular curves, shimura curves, andgoppa codes, better than varshamov-gilbert bound
    • M. A. Tsfasman, S. G. Vladut, and T. Zink, "Modular curves, Shimura curves, andGoppa codes, better than Varshamov-Gilbert bound", Math. Nachr. 109 (1982)21-28.
    • (1982) Math. Nachr , vol.109 , pp. 21-28
    • Tsfasman, M.A.1    Vladut, S.G.2    Zink, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.