Demonstration of logical qubits and repeated error correction with better-than-physical error rates

C. K. Andersen, A. Remm, S. Lazar, S. Krinner, N. Lacroix, G. J. Norris, M. Gabureac, C. Eichler, and A. Wallraff, Repeated quantum error detection in a surface code, Nature Physics 16

Original

1912

Earlier work this paper cites.

J. Leon, Computing automorphism groups of error-correcting codes, IEEE Transactions on Information Theory 28

1982

Earlier work this paper cites.

J. A. Hanley and A. Lippman-hand, If nothing goes wrong, is everything all right?, Journal of the American Medical Association 249

1983

Earlier work this paper cites.

P. W. Shor, Scheme for reducing decoherence in quantum computer memory, Phys. Rev. A 52

1995

Earlier work this paper cites.

A. M. Steane, Simple quantum error-correcting codes, Phys. Rev. A 54

1996

Earlier work this paper cites.

L. Vaidman, L. Goldenberg, and S. Wiesner, Error prevention scheme with four particles, Phys. Rev. A 54

1996

Earlier work this paper cites.

J. R. Taylor, An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements , 2nd ed. (University Science Books, 1996)

1996

Earlier work this paper cites.

D. Aharonov and M. Ben-Or, Fault-tolerant quantum computation with constant error, in Proceedings of the Twenty-Ninth Annual ACM Symposium on Theory of Computing , STOC ’97 (Association for Computing Machinery, New York, NY, USA, 1997) p. 176–188

1997

Earlier work this paper cites.

A. Y. Kitaev, Quantum error correction with imperfect gates, in Quantum Communication, Computing, and Measurement (Springer, 1997) pp. 181–188

1997

Earlier work this paper cites.

A. M. Steane, Active stabilization, quantum computation, and quantum state synthesis, Phys. Rev. Lett. 78

1997

Earlier work this paper cites.

M. Grassl, T. Beth, and T. Pellizzari, Codes for the quantum erasure channel, Phys. Rev. A 56

1997

Earlier work this paper cites.

E. Knill, R. Laflamme, and W. H. Zurek, Resilient quantum computation, Science 279

1998

Earlier work this paper cites.

D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. M. Meekhof, Experimental issues in coherent quantum-state manipulation of trapped atomic ions, Journal of Research of the National Institute of Standards and Technology 103

1998

Earlier work this paper cites.

J. Preskill, Reliable quantum computers, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 454

1998

Earlier work this paper cites.

X. Zhou, D. W. Leung, and I. L. Chuang, Methodology for quantum logic gate construction, Phys. Rev. A 62

2000

Earlier work this paper cites.

J. M. Pino, J. M. Dreiling, C. Figgatt, J. P. Gaebler, S. A. Moses, M. S. Allman, C. H. Baldwin, M. Foss-Feig, D. Hayes, K. Mayer, C. Ryan-Anderson, and B. Neyenhuis, Demonstration of the trapped-ion quantum-ccd computer architecture, Nature 10.1038/s41586-021-03318-4 (2020), arXiv:2003.01293 [quant-ph]

Original

2003

Earlier work this paper cites.

E. Knill, Scalable quantum computation in the presence of large detected-error rates (2003), arXiv:quant-ph/0312190 [quant-ph]

2003

Earlier work this paper cites.

B. M. Terhal and G. Burkard, Fault-tolerant quantum computation for local non-markovian noise, Phys. Rev. A 71

2005

Earlier work this paper cites.

E. Knill, Quantum computing with realistically noisy devices, Nature 434

2005

Earlier work this paper cites.

E. Eypasch, R. Lefering, C. K. Kum, and H. Troidl, Probability of adverse events that have not yet occurred: a statistical reminder, British Medical Journal 311

2005

Earlier work this paper cites.

P. Aliferis, D. Gottesman, and J. Preskill, Quantum accuracy threshold for concatenated distance-3 codes, Quantum Info. Comput. 6

2006

Cited alongside, same era.

A. Erhard, H. P. Nautrup, M. Meth, L. Postler, R. Stricker, M. Ringbauer, P. Schindler, H. J. Briegel, R. Blatt, N. Friis, and T. Monz, Entangling logical qubits with lattice surgery, Nature 589

Original

2006

Cited alongside, same era.

D. Bacon and A. Casaccino, Quantum error correcting subsystem codes from two classical linear codes (2006), arXiv:quant-ph/0610088 [quant-ph]

2006

Cited alongside, same era.

R. Raussendorf and J. Harrington, Fault-tolerant quantum computation with high threshold in two dimensions, Phys. Rev. Lett. 98

2007

Cited alongside, same era.

A. M. Stephens and Z. W. E. Evans, Accuracy threshold for concatenated error detection in one dimension, Phys. Rev. A 80

2009

C. Ryan-Anderson, J. G. Bohnet, K. Lee, D. Gresh, A. Hankin, J. P. Gaebler, D. Francois, A. Chernoguzov, D. Lucchetti, N. C. Brown, T. M. Gatterman, S. K. Halit, K. Gilmore, J. A. Gerber, B. Neyenhuis, D. Hayes, and R. P. Stutz, Realization of real-time fault-tolerant quantum error correction, Phys. Rev. X 11

2021

Later among the works it cites.

P. Prabhu and B. W. Reichardt, Distance-four quantum codes with combined postselection and error correction, arXiv:2112.03785 [quant-ph] (2021)

Original

2021

Later among the works it cites.

M. E. Beverland, P. Murali, M. Troyer, K. M. Svore, T. Hoefler, V. Kliuchnikov, G. H. Low, M. Soeken, A. Sundaram, and A. Vaschillo, Assessing requirements to scale to practical quantum advantage, arXiv:2211.07629 [quant-ph] (2022)

Original

2022

Later among the works it cites.

C. Ryan-Anderson, N. C. Brown, M. S. Allman, B. Arkin, G. Asa-Attuah, C. Baldwin, J. Berg, J. G. Bohnet, S. Braxton, N. Burdick, J. P. Campora, A. Chernoguzov, J. Esposito, B. Evans, D. Francois, J. P. Gaebler, T. M. Gatterman, J. Gerber, K. Gilmore, D. Gresh, A. Hall, A. Hankin, J. Hostetter, D. Lucchetti, K. Mayer, J. Myers, B. Neyenhuis, J. Santiago, J. Sedlacek, T. Skripka, A. Slattery, R. P. Stutz, J. Tait, R. Tobey, G. Vittorini, J. Walker, and D. Hayes, Implementing fault-tolerant entangling gates on the five-qubit code and the color code, arXiv:2208.01863 (2022)