1 |
S. A. Aly, A. Klappenecker, and P. K. Sarvepalli, Primitive quantum BCH codes over finite fields, Proc. IEEE Int. Symp. Inf. Theory, Seattle, WA, pp. 1105-1108, 2006.
|
2 |
A. Ashikhmin and E. Knill, Nonbinary quantum stabilizer codes, IEEE Trans. Inform. Theory 47 (2000), 3065-3072.
|
3 |
M. Ashraf and G. Mohammad, Quantum codes from cyclic codes over , Int. J. Quantum Inf. 12 (2014), no. 6, 1450042, 8 pp.
|
4 |
A. Bayram and I. Siap, Cyclic and constacyclic codes over a non-chain ring, J. Algebra Comb. Discrete Struct. Appl. 1 (2014), no. 1, 1-12.
|
5 |
A. R. Calderbank, E. M. Rains, P. M. Shor, and N. J. A. Sloane, Quantum error correction via codes over GF(4), IEEE Trans. Inform. Theory 44 (1998), no. 4, 1369-1387.
DOI
|
6 |
A. R. Calderbank and P. W. Shor, Good quantum error-correcting codes exist, Phys. Rev. A 54 (1996), no. 2, 1098-1105.
DOI
|
7 |
A. Dertli, Y. Cengellenmis, and S. Eren, On quantum codes obtained from cyclic codes over , http://arxiv.org/abs/1407.1232v1.
|
8 |
S. J. Devitt, W. J. Munro, and K. Nemoto, Quantum Error Correction for Beginners, http://arxiv.org/pdf/0905.2794v4.pdf.
DOI
|
9 |
D. Gottesman, Stabilizer codes and quantum error correction, Caltech Ph. D. Thesis, eprint:quant-ph/9705052.
|
10 |
A. Ketkar, A. Klappenecker, S. Kumar, and P. K. Sarvepalli, Nonbinary stabilizer codes over finite fields, IEEE Trans. Inform. Theory 52 (2006), no. 11, 4892-4914.
DOI
|
11 |
V. D. Tonchev, The existence of optimal quaternary [28, 20, 6] and quantum [[28, 12, 6]] codes, J. Algebra Comb. Discrete Appl. 1 (2014), no. 1, 13-17.
|
12 |
J. Qian, Quantum codes from cyclic codes over , J. Inform. Comput. Sci. 10 (2013), no. 6, 1715-1722.
DOI
|
13 |
P. W. Shor, Scheme for reducing decoherence in quantum memory, Phys. Rev. A 52 (1995), 2493-2496.
DOI
|
14 |
A. M. Steane, Enlargement of Calderbank-Shor-Steane quantum codes, IEEE Trans. Inform. Theory 45 (1999), no. 7, 2492-2495.
DOI
|
15 |
Y. Xunru and M. Wenping, Gray map and quantum codes over the ring , in Proc. IEEE Int. Conf. on Trust, Security and Privacy in Computing and Communications, Changsha, China(IEEE Computer Society Press), pp. 897-899, 2011.
|
16 |
C. Y. Lai and C. C. Lu, A construction of quantum stabilizer codes based on syndrome assignment by classical parity-check matrices, IEEE Trans. Inform. Theory 57 (2011), no. 10, 7163-7179.
DOI
|