Built on

S. Lloyd, “Capacity of the noisy quantum channel,” Phys. Rev. A 55
1997
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, “Quantum codes on a lattice with boundary,” (1998), quant-ph/9811052
1998
Earlier work this paper cites.
D. P. DiVincenzo, P. W. Shor, and J. A. Smolin, “Quantum-channel capacity of very noisy channels,” Phys. Rev. A 57
1998
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.
P. W. Shor, “The quantum channel capacity and coherent information,” lecture notes, MSRI Workshop on Quantum Computation, San Francisco (November 2002)
2002
Earlier work this paper cites.
A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,” Ann. Phys. (Amsterdam) 303
2003
Earlier work this paper cites.
C. Wang, J. Harrington, and J. Preskill, “Confinement-Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory,” Ann. Phys. (Amsterdam) 303
2003
Earlier work this paper cites.
I. Devetak, “The private classical capacity and quantum capacity of a quantum channel,” IEEE Trans. Inf. Theory 51
2005
Earlier work this paper cites.
P. Aliferis and J. Preskill, “Fault-tolerant quantum computation against biased noise,” Phys. Rev. A 78
Original
2008
Earlier work this paper cites.
P. Aliferis, F. Brito, D. P. DiVincenzo, J. Preskill, M. Steffen, and B. M. Terhal, “Fault-tolerant computing with biased-noise superconducting qubits: A case study,” New J. Phys. 11
Original
2009
Earlier work this paper cites.
T. M. Stace and S. D. Barrett, “Error correction and degeneracy in surface codes suffering loss,” Phys. Rev. A 81
Original
2010
Earlier work this paper cites.
G. Duclos-Cianci and D. Poulin, “Fast Decoders for Topological Quantum Codes,” Phys. Rev. Lett. 104
Original
2010
Earlier work this paper cites.
M. D. Shulman, O. E. Dial, S. P. Harvey, H. Bluhm, V. Umansky, and A. Yacoby, “Demonstration of entanglement of electrostatically coupled singlet-triplet qubits,” Science 336
Original
2012
Earlier work this paper cites.

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Then

A. Hutter, J. R. Wootton, and D. Loss, “Efficient Markov chain Monte Carlo algorithm for the surface code,” Phys. Rev. A 89
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Later among the works it cites.
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2017

Ultrahigh Error Threshold for Surface Codes with Biased Noise

Tuckett, David K., Bartlett, Stephen D., Flammia, Steven T.

Understand

We show that a simple modification of the surface code can exhibit an enormous gain in the error correction threshold for a noise model in which Pauli Z errors occur more frequently than X or Y errors.

Such biased noise, where dephasing dominates, is ubiquitous in many quantum architectures.
In the limit of pure dephasing noise we find a threshold of 43.7(1)% using a tensor network decoder proposed by Bravyi, Suchara and Vargo.
The threshold remains surprisingly large in the regime of realistic noise bias ratios, for example 28.2(2)% at a bias of 10.

Built on

S. Lloyd, “Capacity of the noisy quantum channel,” Phys. Rev. A 55
1997
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, “Quantum codes on a lattice with boundary,” (1998), quant-ph/9811052
1998
Earlier work this paper cites.
D. P. DiVincenzo, P. W. Shor, and J. A. Smolin, “Quantum-channel capacity of very noisy channels,” Phys. Rev. A 57
1998
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.
P. W. Shor, “The quantum channel capacity and coherent information,” lecture notes, MSRI Workshop on Quantum Computation, San Francisco (November 2002)
2002
Earlier work this paper cites.
A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,” Ann. Phys. (Amsterdam) 303
2003
Earlier work this paper cites.
C. Wang, J. Harrington, and J. Preskill, “Confinement-Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory,” Ann. Phys. (Amsterdam) 303
2003
Earlier work this paper cites.
I. Devetak, “The private classical capacity and quantum capacity of a quantum channel,” IEEE Trans. Inf. Theory 51
2005
Earlier work this paper cites.
P. Aliferis and J. Preskill, “Fault-tolerant quantum computation against biased noise,” Phys. Rev. A 78
Original
2008
Earlier work this paper cites.
P. Aliferis, F. Brito, D. P. DiVincenzo, J. Preskill, M. Steffen, and B. M. Terhal, “Fault-tolerant computing with biased-noise superconducting qubits: A case study,” New J. Phys. 11
Original
2009
Earlier work this paper cites.
T. M. Stace and S. D. Barrett, “Error correction and degeneracy in surface codes suffering loss,” Phys. Rev. A 81
Original
2010
Earlier work this paper cites.
G. Duclos-Cianci and D. Poulin, “Fast Decoders for Topological Quantum Codes,” Phys. Rev. Lett. 104
Original
2010
Earlier work this paper cites.
M. D. Shulman, O. E. Dial, S. P. Harvey, H. Bluhm, V. Umansky, and A. Yacoby, “Demonstration of entanglement of electrostatically coupled singlet-triplet qubits,” Science 336
Original
2012
Earlier work this paper cites.