-
1
-
-
51249103772
-
A class of quantum LDPC codes derived from Latin squares and combinatorial objects
-
Technical report, Department of Computer Science, Texas A&M University, April
-
S. A. Aly. A class of quantum LDPC codes derived from Latin squares and combinatorial objects. Technical report, Department of Computer Science, Texas A&M University, April 2007.
-
(2007)
-
-
Aly, S.A.1
-
2
-
-
67449089282
-
A class of quantum LDPC codes constructed from finite geometries
-
December
-
S. A. Aly. A class of quantum LDPC codes constructed from finite geometries. In Proc. of IEEE GLOBECOM, pages 1-5, December 2008.
-
(2008)
Proc. of IEEE GLOBECOM
, pp. 1-5
-
-
Aly, S.A.1
-
3
-
-
34249872422
-
Homological error correction: Classical and quantum codes
-
H. Bombin and M. A. Martin-Delgado. Homological error correction: classical and quantum codes. J. Math. Phys., 48, 052105 (2007).
-
(2007)
J. Math. Phys
, vol.48
, pp. 052105
-
-
Bombin, H.1
Martin-Delgado, M.A.2
-
4
-
-
0001398327
-
Good quantum error-correcting codes exist
-
A. R. Calderbank and P. W. Shor. Good quantum error-correcting codes exist. Phys. Rev. A, 54:1098-1105, 1996.
-
(1996)
Phys. Rev. A
, vol.54
, pp. 1098-1105
-
-
Calderbank, A.R.1
Shor, P.W.2
-
5
-
-
84888078581
-
-
T. Camara, H. Ollivier, and J.-P. Tillich. Constructions and performance of classes of quantum LDPC codes, 2005. arXiv:quant-ph/0502086v2.
-
T. Camara, H. Ollivier, and J.-P. Tillich. Constructions and performance of classes of quantum LDPC codes, 2005. arXiv:quant-ph/0502086v2.
-
-
-
-
6
-
-
51649087979
-
A class of quantum LDPC codes: Construction and performances under iterative decoding
-
Nice, June
-
T. Camara, H. Ollivier, and J.-P. Tillich. A class of quantum LDPC codes: construction and performances under iterative decoding. In Proc. of ISIT, pages 811-815, Nice, June 2007.
-
(2007)
Proc. of ISIT
, pp. 811-815
-
-
Camara, T.1
Ollivier, H.2
Tillich, J.-P.3
-
7
-
-
51849106059
-
Construction of topological quantum codes on compact surfaces
-
Porto, May
-
C. D. de Albuquerque, R. Palazzo, and E. B. da Silva. Construction of topological quantum codes on compact surfaces. In Proc. of ITW, pages 391-395, Porto, May 2008.
-
(2008)
Proc. of ITW
, pp. 391-395
-
-
de Albuquerque, C.D.1
Palazzo, R.2
da Silva, E.B.3
-
8
-
-
44849123231
-
Quantum LDPC codes from incomplete block designs
-
May
-
I. B. Djordjevic. Quantum LDPC codes from incomplete block designs. IEEE Communication Letters, 12(5):389-391, May 2008.
-
(2008)
IEEE Communication Letters
, vol.12
, Issue.5
, pp. 389-391
-
-
Djordjevic, I.B.1
-
10
-
-
85025451197
-
2-systolic freedom and quantum codes
-
Chapman & Hall/CRC, Boca Raton, FL
-
2-systolic freedom and quantum codes. In Mathematics of quantum computation, Chapman & Hall/CRC, pages 287-320, Boca Raton, FL, 2002.
-
(2002)
Mathematics of quantum computation
, pp. 287-320
-
-
Freedman, M.H.1
Meyer, D.A.2
Luo, F.3
-
12
-
-
51849154405
-
Design of near-optimum quantum errorcorrecting codes based on generator and parity-check matrices of LDGM codes
-
Princeton, March
-
J. Garcia-Frias and K. Liu. Design of near-optimum quantum errorcorrecting codes based on generator and parity-check matrices of LDGM codes. In Proc. of CISS, pages 562-567, Princeton, March 2008.
-
(2008)
Proc. of CISS
, pp. 562-567
-
-
Garcia-Frias, J.1
Liu, K.2
-
13
-
-
51649121984
-
Quantum quasi-cyclic LDPC codes
-
Nice, June
-
M. Hagiwara and H. Imai. Quantum quasi-cyclic LDPC codes. In Proc. ISIT'07, pages 806-811, Nice, June 2007.
-
(2007)
Proc. ISIT'07
, pp. 806-811
-
-
Hagiwara, M.1
Imai, H.2
-
16
-
-
0037268624
-
Fault-tolerant quantum computation by anyons
-
A. Y. Kitaev. Fault-tolerant quantum computation by anyons. Ann. Phys., 303:2, 2003.
-
(2003)
Ann. Phys
, vol.303
, pp. 2
-
-
Kitaev, A.Y.1
-
17
-
-
84994759819
-
On the application of error-correcting codes with low-density generator matrix over different quantum channels
-
Munich, April
-
H. Lou and J. Garcia-Frias. On the application of error-correcting codes with low-density generator matrix over different quantum channels. In Proc. of Turbo-coding, Munich, April 2006.
-
(2006)
Proc. of Turbo-coding
-
-
Lou, H.1
Garcia-Frias, J.2
-
18
-
-
5144233236
-
Sparse graph codes for quantum error-correction
-
D. J. C. MacKay, G. Mitchison, and P. L. McFadden. Sparse graph codes for quantum error-correction. IEEE Trans. Info. Theory, 50(10):2315- 2330, 2004.
-
(2004)
IEEE Trans. Info. Theory
, vol.50
, Issue.10
, pp. 2315-2330
-
-
MacKay, D.J.C.1
Mitchison, G.2
McFadden, P.L.3
-
19
-
-
84888077747
-
-
M. S. Postol. A proposed quantum low density parity check code, 2001. arXiv:quant-ph/0108131v1.
-
M. S. Postol. A proposed quantum low density parity check code, 2001. arXiv:quant-ph/0108131v1.
-
-
-
-
20
-
-
52349114206
-
Quantum serial turbo-codes
-
arXiv:0712.2888v1 [quant-ph
-
D. Poulin, J.-P. Tillich, and H. Ollivier. Quantum serial turbo-codes, 2007. arXiv:0712.2888v1 [quant-ph].
-
(2007)
-
-
Poulin, D.1
Tillich, J.-P.2
Ollivier, H.3
-
21
-
-
52349083715
-
Asymmetric quantum LDPC codes
-
Toronto, July
-
K. P. Sarvepalli, M.Rötteler, and A. Klappenecker. Asymmetric quantum LDPC codes. In Proc. of ISIT, pages 305-309, Toronto, July 2008.
-
(2008)
Proc. of ISIT
, pp. 305-309
-
-
Sarvepalli, K.P.1
Rötteler, M.2
Klappenecker, A.3
-
23
-
-
0007244732
-
Multiple particle interference and quantum error correction
-
A. M. Steane. Multiple particle interference and quantum error correction. Proc. R. Soc. Lond. A, 452:2551-2577, 1996.
-
(1996)
Proc. R. Soc. Lond. A
, vol.452
, pp. 2551-2577
-
-
Steane, A.M.1
-
24
-
-
51249098491
-
New classes of LDPC stabilizer codes using ideas from matrix scrambling
-
May
-
P. Tan and J. Li. New classes of LDPC stabilizer codes using ideas from matrix scrambling. In Proc. of ICC, pages 1166-1170. May 2008.
-
(2008)
Proc. of ICC
, pp. 1166-1170
-
-
Tan, P.1
Li, J.2
-
25
-
-
84888076535
-
-
Expanded version of the present paper. http://arxiv.org/abs/0903.0566
-
Expanded version of the present paper. http://arxiv.org/abs/0903.0566
-
-
-
-
26
-
-
0035246490
-
On expander codes
-
G. Zémor. On expander codes, IEEE Trans. Info. Theory, 47(2):835-837, 2001.
-
(2001)
IEEE Trans. Info. Theory
, vol.47
, Issue.2
, pp. 835-837
-
-
Zémor, G.1
-
27
-
-
69849101595
-
On Cayley graphs, surface codes and the limits of homological coding for quantum error correction
-
Proceedings of IWCC
-
G. Zémor. On Cayley graphs, surface codes and the limits of homological coding for quantum error correction, Proceedings of IWCC 2009, LNCS 5557, pages 259-273.
-
(2009)
LNCS
, vol.5557
, pp. 259-273
-
-
Zémor, G.1
|