메뉴 건너뛰기




Volumn , Issue , 2009, Pages 953-957

Generalized concatenation for quantum codes

Author keywords

Generalized concatenated codes; Nonadditive codes; Quantum error correction; Stabilizer codes

Indexed keywords

GENERALIZED CONCATENATED CODES; GOOD CODE; NON-ADDITIVE; NONADDITIVE CODES; QUANTUM CODES; QUANTUM ERROR CORRECTING CODES; QUANTUM ERROR CORRECTION; STABILIZER CODES;

EID: 70449590058     PISSN: 21578102     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2009.5205592     Document Type: Conference Paper
Times cited : (6)

References (25)
  • 1
    • 0030706543 scopus 로고    scopus 로고
    • Fault-Tolerant Quantum Computation with Constant Error
    • Association for Computing Machinery, preprint quant-ph/9611025
    • D. Aharonov and M. Ben-Or, "Fault-Tolerant Quantum Computation with Constant Error," in Proceedings of the 29th Annual ACM Symposium on Theory of Computing. Association for Computing Machinery, 1997, pp. 176-188, preprint quant-ph/9611025.
    • (1997) Proceedings of the 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
    • preprint quant-ph/0005008, Nov
    • A. Ashikhmin and E. Knill, "Nonbinary quantum stabilizer codes," IEEE Transactions on Information Theory, vol. 47, no. 7, pp. 3065-3072, Nov. 2001, preprint quant-ph/0005008.
    • (2001) IEEE Transactions on Information Theory , vol.47 , Issue.7 , pp. 3065-3072
    • Ashikhmin, A.1    Knill, E.2
  • 3
    • 0005140256 scopus 로고
    • Coding of Generalized Concatenated Codes
    • E. L. Blokh and V. V. Zyablov, "Coding of Generalized Concatenated Codes," Problemy Peredachi Informatsii, vol. 10, no. 3, pp. 45-50, 1974.
    • (1974) Problemy Peredachi Informatsii , vol.10 , Issue.3 , pp. 45-50
    • Blokh, E.L.1    Zyablov, V.V.2
  • 6
    • 57649139227 scopus 로고    scopus 로고
    • Nonbinary Codeword Stabilized Quantum Codes
    • Dec, preprint arXiv:0808.3086 [quant-ph
    • X. Chen, B. Zeng, and I. L. Chuang, "Nonbinary Codeword Stabilized Quantum Codes," Physical Review A, vol. 78, p. 062315, Dec. 2008, preprint arXiv:0808.3086 [quant-ph].
    • (2008) Physical Review A , vol.78 , pp. 062315
    • Chen, X.1    Zeng, B.2    Chuang, I.L.3
  • 7
    • 58349093554 scopus 로고    scopus 로고
    • Codeword Stabilized Quantum Codes
    • Jan, preprint arXiv:0801.1021v4 [quant-ph
    • A. Cross, G. Smith, J. A. Smolin, and B. Zeng, "Codeword Stabilized Quantum Codes," IEEE Transactions on Information Theory, vol. 55, no. 1, pp. 433-438, Jan. 2009, preprint arXiv:0801.1021v4 [quant-ph].
    • (2009) IEEE Transactions on Information Theory , vol.55 , Issue.1 , pp. 433-438
    • Cross, A.1    Smith, G.2    Smolin, J.A.3    Zeng, B.4
  • 8
    • 0029373150 scopus 로고
    • Modified Generalized Concatenated Codes and their Application to the Construction and Decoding of LUEP Codes
    • Sep
    • U. Dettmar, Y. Gao, and U. K. Sorger, "Modified Generalized Concatenated Codes and their Application to the Construction and Decoding of LUEP Codes," IEEE Transactions on Information Theory, vol. 41, no. 5, pp. 1499-1503, Sep. 1995.
    • (1995) IEEE Transactions on Information Theory , vol.41 , Issue.5 , pp. 1499-1503
    • Dettmar, U.1    Gao, Y.2    Sorger, U.K.3
  • 9
    • 0001173821 scopus 로고    scopus 로고
    • Concatenated Codes and Their Multilevel Generalizations
    • V. S. Pless and W. C. Huffman, Eds. Amsterdam: Elsevier, ch. 23, pp
    • I. Dumer, "Concatenated Codes and Their Multilevel Generalizations," in Handbook of Coding Theory, V. S. Pless and W. C. Huffman, Eds. Amsterdam: Elsevier, 1998, ch. 23, pp. 1911-1988.
    • (1998) Handbook of Coding Theory , pp. 1911-1988
    • Dumer, I.1
  • 11
    • 0000132422 scopus 로고    scopus 로고
    • A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
    • preprint quant-ph/9604038, Sep
    • D. Gottesman, "A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound," Physical Review A, vol. 54, no. 3, pp. 1862-1868, Sep. 1996, preprint quant-ph/9604038.
    • (1996) Physical Review A , vol.54 , Issue.3 , pp. 1862-1868
    • Gottesman, D.1
  • 12
    • 0003932204 scopus 로고    scopus 로고
    • Stabilizer Codes and Quantum Error Correction,
    • Ph.D. dissertation, California Institute of Technology, Pasadena, CA
    • -, "Stabilizer Codes and Quantum Error Correction," Ph.D. dissertation, California Institute of Technology, Pasadena, CA, 1997.
    • (1997)
  • 13
    • 84888077595 scopus 로고    scopus 로고
    • M. Grassl, Bounds on the minimum distance of quantum codes, Online available at http://www.codetables.de, 2007, accessed on 2009-01-10.
    • M. Grassl, "Bounds on the minimum distance of quantum codes," Online available at http://www.codetables.de, 2007, accessed on 2009-01-10.
  • 14
    • 0038538039 scopus 로고    scopus 로고
    • A Note on Non-Additive Quantum Codes
    • preprint quant-ph/9703016
    • M. Grassl and T. Beth, "A Note on Non-Additive Quantum Codes," 1997, preprint quant-ph/9703016.
    • (1997)
    • Grassl, M.1    Beth, T.2
  • 15
    • 52149120516 scopus 로고    scopus 로고
    • Non-Additive Quantum Codes from Goethals and Preparata Codes
    • Porto, May, preprint arXiv:0801.2144v1 [quant-ph
    • M. Grassl and M. Rötteler, "Non-Additive Quantum Codes from Goethals and Preparata Codes," in Proceedings IEEE Information Theory Workshop 2008 (ITW 2008), Porto, May 2008, pp. 396-400, preprint arXiv:0801.2144v1 [quant-ph].
    • (2008) Proceedings IEEE Information Theory Workshop 2008 (ITW 2008) , pp. 396-400
    • Grassl, M.1    Rötteler, M.2
  • 17
    • 66349083513 scopus 로고    scopus 로고
    • Generalized Concatenated Quantum Codes
    • to appear, preprint arXiv:0901.1319v1 [quant-ph
    • M. Grassl, P.W. Shor, G. Smith, J. A. Smolin, and B. Zeng, "Generalized Concatenated Quantum Codes," Physical Review A, 2009 (to appear), preprint arXiv:0901.1319v1 [quant-ph].
    • (2009) Physical Review A
    • Grassl, M.1    Shor, P.W.2    Smith, G.3    Smolin, J.A.4    Zeng, B.5
  • 19
    • 27144465064 scopus 로고    scopus 로고
    • Resilient Quantum Computation: Error Models and Thresholds
    • Jan, preprint quant-ph/9702058
    • -, "Resilient Quantum Computation: Error Models and Thresholds," Proceedings of the Royal Society A, vol. 454, no. 1969, pp. 365-384, Jan. 1998, preprint quant-ph/9702058.
    • (1998) Proceedings of the Royal Society A , vol.454 , Issue.1969 , pp. 365-384
  • 21
    • 0033184975 scopus 로고    scopus 로고
    • Nonbinary Quantum Codes
    • preprint quant-ph/9703048, Sep
    • E. M. Rains, "Nonbinary Quantum Codes," IEEE Transactions on Information Theory, vol. 45, no. 6, pp. 1827-1832, Sep. 1999, preprint quant-ph/9703048.
    • (1999) IEEE Transactions on Information Theory , vol.45 , Issue.6 , pp. 1827-1832
    • Rains, E.M.1
  • 22
    • 6144225745 scopus 로고    scopus 로고
    • Nonadditive Quantum Code
    • preprint quant-ph/9703002, Aug
    • E. M. Rains, R. H. Hardin, P. W. Shor, and N. J. A. Sloane, "Nonadditive Quantum Code," Physical Review Letters, vol. 79, no. 5, pp. 953-954, Aug. 1997, preprint quant-ph/9703002.
    • (1997) Physical Review Letters , vol.79 , Issue.5 , pp. 953-954
    • Rains, E.M.1    Hardin, R.H.2    Shor, P.W.3    Sloane, N.J.A.4
  • 23
    • 0036149982 scopus 로고    scopus 로고
    • Quantum Error-Correcting Codes Associated with Graphs
    • 012308 preprint quant-ph/0012111
    • D. Schlingemann and R. F. Werner, "Quantum Error-Correcting Codes Associated with Graphs," Physical Review A, vol. 65, no. 012308, 2002, preprint quant-ph/0012111.
    • (2002) Physical Review A , vol.65
    • Schlingemann, D.1    Werner, R.F.2
  • 24
    • 50849121726 scopus 로고    scopus 로고
    • Nonadditive Quantum Error- Correcting Code
    • arXiv:0704.2122v1 [quant-ph
    • S. Yu, Q. Chen, C. H. Lai, and C. H. Oh, "Nonadditive Quantum Error- Correcting Code," Physical Review Letters, vol. 101, p. 090501, 2008, arXiv:0704.2122v1 [quant-ph].
    • (2008) Physical Review Letters , vol.101 , pp. 090501
    • Yu, S.1    Chen, Q.2    Lai, C.H.3    Oh, C.H.4
  • 25
    • 0042385445 scopus 로고
    • Generalized Concatenated Codes
    • V. A. Zinoviev, "Generalized Concatenated Codes," Problemy Peredachi Informatsii, vol. 12, no. 1, pp. 5-15, 1976.
    • (1976) Problemy Peredachi Informatsii , vol.12 , Issue.1 , pp. 5-15
    • Zinoviev, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.