Quantum error correction with only two extra qubits

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Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, and Wojciech Hubert Zurek, “Perfect quantum error correcting code,” Phys. Rev. Lett. 77

1996

Earlier work this paper cites.

Daniel Gottesman, “Class of quantum error-correcting codes saturating the quantum Hamming bound,” Phys. Rev. A 54

1996

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A. R. Calderbank, Eric M. Rains, Peter W. Shor, and N. J. A. Sloane, “Quantum error correction and orthogonal geometry,” Phys. Rev. Lett. 78

1997

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Andrew M. Steane, “Fast fault-tolerant filtering of quantum codewords,” (2002), arXiv:quant-ph/0202036

2002

Cited alongside, same era.

David P. DiVincenzo and Panos Aliferis, “Effective fault-tolerant quantum computation with slow measurements,” Phys. Rev. Lett. 98

2007

Cited alongside, same era.

Markus Grassl, “Bounds on the minimum distance of linear codes and quantum codes,” Online available at http://www.codetables.de (2007)

2007

Cited alongside, same era.

Andrew W. Cross, David P. DiVincenzo, and Barbara M. Terhal, “A comparative code study for quantum fault-tolerance,” Quant. Inf. Comput. 9

Original

2009

Cited alongside, same era.

Daniel Gottesman, “An introduction to quantum error correction and fault-tolerant quantum computation,” in Quantum Information Science and Its Contributions to Mathematics, Proc. Symp. in Applied Mathematics , Vol. 68 (Amer. Math. Soc., Providence, RI, 2010) pp. 13–58, arXiv:0904.2557 [quant-ph]

Ashley M. Stephens, “Efficient fault-tolerant decoding of topological color codes,” (2014), arXiv:1402.3037 [quant-ph]

Original

2014

Later among the works it cites.

N. M. Linke, M. Gutierrez, K. A. Landsman, C. Figgatt, S. Debnath, K. R. Brown, and C. Monroe, “Experimental demonstration of quantum fault tolerance,” (2016), arXiv:1611.06946 [quant-ph]

Original

2016

Later among the works it cites.

Daniel Gottesman, “Quantum fault tolerance in small experiments,” (2016), arXiv:1610.03507 [quant-ph]

Original

2016

Later among the works it cites.

Theodore J. Yoder and Isaac H. Kim, “The surface code with a twist,” Quantum 1

Original

2017

Closest in time.

Rui Chao and Ben W. Reichardt, “Fault-tolerant computation with few qubits,” (2017), in preparation