Leveraging Automorphisms of Quantum Codes for Fault-Tolerant Quantum Computation

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error–Correcting Codes . Amsterdam: North–Holland, 1977

1977

Earlier work this paper cites.

D. Gottesman, “Stabilizer codes and quantum error correction,” Ph.D. dissertation, Caltech, 1997, see also: arXiv preprint quant-ph/9705052

1997

Earlier work this paper cites.

A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane, “Quantum error correction via codes over GF(4),” IEEE Trans. Inform. Theory , vol. 44, pp. 1369–1387, 1998

1998

Earlier work this paper cites.

E. M. Rains, “Quantum codes of minimum distance two,” IEEE Trans. Inform. Theory , vol. 45, no. 1, pp. 266–271, 1999

1999

Earlier work this paper cites.

M. Nielsen and I. Chuang, Quantum Computation and Quantum Information . Cambridge, UK: Cambridge University Press, 2000

2000

Earlier work this paper cites.

E. Dennis, A. Alexei Kitaev, A. Landahl, and J. Preskill, “Topological quantum memory,” J. Math. Phys. , vol. 43, pp. 4452–4505, 2002

2002

Cited alongside, same era.

A. Steane, “Overhead and noise threshold of fault-tolerant quantum error correction,” Phys. Rev. A , vol. 68, p. 042322, 2003

2003

Cited alongside, same era.

E. Knill, “Quantum computing with realistically noisy devices,” Nature , vol. 434, pp. 39–44, 2005

2005

Cited alongside, same era.

P. Aliferis, D. Gottesman, and J. Preskill, “Quantum accuracy threshold for concatenated distance-3 codes,” Quant. Information and Computation , vol. 6, no. 2, pp. 97–165, 2006

2006

Cited alongside, same era.

P. Aliferis and A. Cross, “Subsystem fault tolerance with the Bacon-Shor code,” Phys. Rev. Lett. , vol. 98, p. 220502, 2006

2006

Later among the works it cites.

K. M. Svore, D. P. DiVincenzo, and B. M. Terhal, “Noise threshold for a fault-tolerant two-dimensional lattice architecture,” Quant. Information and Computation , vol. 7, no. 4, pp. 297–318, 2007

2007

Later among the works it cites.

B. Zeng, A. Cross, and I. L. Chuang, “Transversality versus universality for additive quantum codes,” IEEE Trans. Inform. Theory , vol. 57, no. 9, pp. 6272–6284, 2011

Original

2011

Later among the works it cites.

A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, “Surface codes: Towards practical large-scale quantum computation,” Phys. Rev. A , vol. 86, p. 032324, 2012

2012

Later among the works it cites.