B. Audoux, An application of Khovanov homology to quantum codes, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact, vol.1, issue.2, pp.185-223, 2014.
DOI : 10.4171/aihpd/6
URL : https://hal.archives-ouvertes.fr/hal-01066619

S. Bravyi and M. B. Hastings, Homological product codes, 2013.
DOI : 10.1145/2591796.2591870
URL : http://arxiv.org/pdf/1311.0885

, Proceedings of the 46th annual ACM symposium on theory of computing, STOC '14, pp.273-282, 2014.

H. Bombin and M. Martin-delgado, Homological error correction: classical and quantum codes, J. Math. Phys, vol.48, issue.5, p.52105, 2007.

A. Couvreur, N. Delfosse, and G. Zémor, A construction of quantum LDPC codes from Cayley graphs, IEEE Trans. Inform. Theory, vol.59, issue.9, pp.6087-6098, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00776318

R. Calderbank, W. Peters, and . Shor, Good quantum error-correcting codes exist, Phys. Rev. A, vol.54, pp.1098-1105, 1996.
DOI : 10.1103/physreva.54.1098
URL : http://arxiv.org/pdf/quant-ph/9512032

N. Delfosse, Constructions et performances de codes LDPC quantiques, 2012.

, Tradeoffs for reliable quantum information storage in surface codes and color codes, Information Theory Proceedings (ISIT), IEEE International Symposium on, pp.917-921, 2013.

J. Farinholt, Quantum LDPC codes constructed from point-line subsets of the finite projective plane, 2012.

H. Michael, M. B. Freedman, and . Hastings, Quantum systems on non-k-hyperfinite complexes: A generalization of classical statistical mechanics on expander graphs, Quantum Inf. Comput, vol.14, issue.1-2, pp.144-180, 2014.

H. Michael, D. A. Freedman, and . Meyer, Projective plane and planar quantum codes, Found. Comput. Math, vol.1, issue.3, pp.325-332, 2001.

H. Michael, D. A. Freedman, F. Meyer, and . Luo, Z 2-systolic freedom and quantum codes, Mathematics of quantum computation, Comput. Math. Ser, pp.287-320, 2002.

R. G. Gallager, Low density parity check codes, 1962.

A. Yu and . Kitaev, Fault-tolerant quantum computation by anyons, Ann. Physics, vol.303, issue.1, pp.2-30, 2003.

Y. Kou, S. Lin, and M. P. Fossorier, Low-density parity-check codes based on finite geometries: a rediscovery and new results, IEEE Trans. Inform. Theory, vol.47, issue.7, pp.2711-2736, 2001.
DOI : 10.1109/18.959255
URL : http://www.csie.ntu.edu.tw/~mku/research/LDPC/asset/papers/code_design/LDPC_finite_geometry.pdf

A. Leverrier, J. Tillich, and G. Zémor, Quantum expander codes, IEEE 56th Annual Symposium on Foundations of Computer Science, pp.810-824, 2015.
DOI : 10.1109/focs.2015.55
URL : https://hal.archives-ouvertes.fr/hal-01407431

J. Florence, . Macwilliams, J. A. Neil, and . Sloane, The theory of error-correcting codes. I, vol.16, 1977.

A. Michael, I. L. Nielsen, and . Chuang, Quantum computation and quantum information, 2010.

J. Preskill, Quantum information and computation

T. J. Richardson, M. A. Shokrollahi, and R. L. Urbanke, Design of capacity-approaching irregular lowdensity parity-check codes, IEEE Trans. Inform. Theory, vol.47, pp.619-637, 2001.
DOI : 10.1109/18.910578

K. J. Smith, On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry, J. Combin. Theory, vol.7, issue.2, pp.122-129, 1969.

A. Steane, Multiple particle interference and quantum error correction, Proc. Roy. Soc. Lond. A, vol.452, pp.2551-2577, 1996.

, Quantum reed-muller codes, IEEE Trans. Inform. Theory, vol.45, issue.5, pp.1701-1703, 1999.

J. , P. Tillich, and G. Zémor, Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength, IEEE Trans. Inform. Theory, vol.60, issue.2, pp.1193-1202, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00931764

C. A. Weibel, An introduction to homological algebra, Cambridge Studies in Advanced Mathematics, vol.38, 1994.

G. Zémor, On Cayley graphs, surface codes, and the limits of homological coding for quantum error correction, Coding and cryptology, Lecture Notes in Comput. Sci, vol.5557, pp.259-273, 2009.

L. Zhang and I. Fuss, Quantum reed-muller codes, ArXiv:quant-ph/9703045, 1997.