Practical quantum error correction with the XZZX code and Kerr-cat qubits

A. L. Grimsmo, J. Combes, and B. Q. Baragiola, Quantum computing with rotation-symmetric bosonic codes, Phys. Rev. X 10

Original

1901

Earlier work this paper cites.

B. J. Brown and D. J. Williamson, Parallelized quantum error correction with fracton topological codes, Phys. Rev. Research 2

Original

1901

Earlier work this paper cites.

J. Guillaud and M. Mirrahimi, Repetition cat qubits for fault-tolerant quantum computation, Phys. Rev. X 9

Original

1904

Earlier work this paper cites.

S. Puri, L. St-Jean, J. A. Gross, A. Grimm, N. E. Frattini, P. S. Iyer, A. Krishna, S. Touzard, L. Jiang, A. Blais, et al. , Bias-preserving gates with stabilized cat qubits, Sci. Adv. 6

Original

1905

Earlier work this paper cites.

M. Kjaergaard, M. E. Schwartz, J. Braumüller, P. Krantz, J. I.-J. Wang, S. Gustavsson, and W. D. Oliver, Superconducting qubits: Current state of play, Annu. Rev. Condens. Matter Phys. 11

Original

1905

Earlier work this paper cites.

P. Campagne-Ibarcq, A. Eickbusch, S. Touzard, E. Zalys-Geller, N. E. Frattini, V. V. Sivak, P. Reinhold, S. Puri, S. Shankar, R. J. Schoelkopf, et al. , Quantum error correction of a qubit encoded in grid states of an oscillator, Nature 584

Original

1907

Earlier work this paper cites.

A. Grimm, N. E. Frattini, S. Puri, S. O. Mundhada, S. Touzard, M. Mirrahimi, S. M. Girvin, S. Shankar, and M. H. Devoret, Stabilization and operation of a Kerr-cat qubit, Nature 584

Original

1907

Earlier work this paper cites.

R. Lescanne, M. Villiers, T. Peronnin, A. Sarlette, M. Delbecq, B. Huard, T. Kontos, M. Mirrahimi, and Z. Leghtas, Exponential suppression of bit-flips in a qubit encoded in an oscillator, Nat. Phys. 16

Original

1907

Earlier work this paper cites.

D. K. Tuckett, S. D. Bartlett, S. T. Flammia, and B. J. Brown, Fault-tolerant thresholds for the surface code in excess of 5 % 5\% under biased noise, Phys. Rev. Lett. 124

Original

1907

Earlier work this paper cites.

R. Harper, S. T. Flammia, and J. J. Wallman, Efficient learning of quantum noise, Nat. Phys. 16

Original

1907

Earlier work this paper cites.

K. Noh and C. Chamberland, Fault-tolerant bosonic quantum error correction with the surface–Gottesman-Kitaev-Preskill code, Phys. Rev. A 101

Original

1908

Earlier work this paper cites.

Y. Ma, Y. Xu, X. Mu, W. Cai, L. Hu, W. Wang, X. Pan, H. Wang, Y. P. Song, C. L. Zou, and L. Sun, Error-transparent operations on a logical qubit protected by quantum error correction, Nat. Phys. 16

Original

1909

Earlier work this paper cites.

C. Chamberland, A. Kubica, T. J. Yoder, and G. Zhu, Triangular color codes on trivalent graphs with flag qubits, New J. Phys. 22

Original

1911

Earlier work this paper cites.

J. Edmonds, Paths, trees and flowers, Can. J. Math. 17

1965

Earlier work this paper cites.

P. W. Shor, Fault-tolerant quantum computation, in Proceedings of 37th Conference on Foundations of Computer Science , FOCS ’96 (IEEE Computer Society, USA, 1996) p. 56, arXiv:quant-ph/9605011

1996

Earlier work this paper cites.

D. Aharonov and M. Ben-Or, Fault-tolerant quantum computation with constant error, in STOC ’97 Proceedings of the Twenty-Ninth Annual ACM Symposium on Theory of Computing (1997) p. 176, arXiv:quant-ph/9611025

1997

Earlier work this paper cites.

I. L. Chuang, D. W. Leung, and Y. Yamamoto, Bosonic quantum codes for amplitude damping, Phys. Rev. A 56

1997

Earlier work this paper cites.

S. B. Bravyi and A. Y. Kitaev, Quantum codes on a lattice with boundary (1998), arXiv:quant-ph/9811052 [quant-ph]

1998

Earlier work this paper cites.

P. T. Cochrane, G. J. Milburn, and W. J. Munro, Macroscopically distinct quantum-superposition states as a bosonic code for amplitude damping, Phys. Rev. A 59

1999

Earlier work this paper cites.

D. Gottesman, A. Kitaev, and J. Preskill, Encoding a qubit in an oscillator, Phys. Rev. A 64

2001

Earlier work this paper cites.

E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, J. Math. Phys. (N.Y.) 43

2002

Earlier work this paper cites.

B. M. Terhal, J. Conrad, and C. Vuillot, Towards scalable bosonic quantum error correction, Quantum Sci. Technol. 5

Original

2002

Earlier work this paper cites.

C. Huang, X. Ni, F. Zhang, M. Newman, D. Ding, X. Gao, T. Wang, H.-H. Zhao, F. Wu, G. Zhang, et al. , Alibaba cloud quantum development platform: Surface code simulations with crosstalk (2020b), arXiv:2002.08918 [quant-ph]

Original

2002

Earlier work this paper cites.

A. Kitaev, Fault-tolerant quantum computation by anyons, Ann. Phys. 303

2003

Earlier work this paper cites.

X.-G. Wen, Quantum orders in an exact soluble model, Phys. Rev. Lett. 90

2003

Earlier work this paper cites.

M. Werninghaus, D. J. Egger, F. Roy, S. Machnes, F. K. Wilhelm, and S. Filipp, Leakage reduction in fast superconducting qubit gates via optimal control, npj Quantum Inf. 7

Original

2003

Earlier work this paper cites.

A. P. Place, L. V. Rodgers, P. Mundada, B. M. Smitham, M. Fitzpatrick, Z. Leng, A. Premkumar, J. Bryon, A. Vrajitoarea, S. Sussman, et al. , New material platform for superconducting transmon qubits with coherence times exceeding 0.3 milliseconds, Nat. Commun. 12

Original

2003

Earlier work this paper cites.

J. M. Gertler, B. Baker, J. Li, S. Shirol, J. Koch, and C. Wang, Protecting a bosonic qubit with autonomous quantum error correction, Nature 590

Original

2004

Earlier work this paper cites.

S. Huang, M. Newman, and K. R. Brown, Fault-tolerant weighted union-find decoding on the toric code, Phys. Rev. A 102

Original

2004

Cited alongside, same era.

L. Hänggli, M. Heinze, and R. König, Enhanced noise resilience of the surface–Gottesman-Kitaev-Preskill code via designed bias, Phys. Rev. A 102

Original

2004

Cited alongside, same era.

J. Gambetta, A. Blais, D. I. Schuster, A. Wallraff, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Qubit-photon interactions in a cavity: Measurement-induced dephasing and number splitting, Phys. Rev. A 74

2006

Cited alongside, same era.

H. Bombin and M. A. Martin-Delgado, Optimal resources for topological two-dimensional stabilizer codes: Comparative study, Phys. Rev. A 76

2007

Cited alongside, same era.

N. Didier, J. Bourassa, and A. Blais, Fast quantum nondemolition readout by parametric modulation of longitudinal qubit-oscillator interaction, Phys. Rev. Lett. 115

Original

2015

Later among the works it cites.

M. Suchara, A. W. Cross, and J. M. Gambetta, Leakage suppression in the toric code, Quant. Inf. Comput. 15

Original

2015

Later among the works it cites.

M. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. W. Cross, J. M. Chow, and J. M. Gambetta, Demonstration of weight-four parity measurements in the surface code architecture, Phys. Rev. Lett. 117

Original

2016

Later among the works it cites.

N. Ofek, A. Petrenko, R. Heeres, P. Reinhold, Z. Leghtas, B. Vlastakis, Y. Liu, L. Frunzio, S. M. Girvin, L. Jiang, et al. , Extending the lifetime of a quantum bit with error correction in superconducting circuits, Nature 536

Original

2016

Later among the works it cites.