Fetching the paper…

Reading the bibliography…

2011

Towards practical classical processing for the surface code

Fowler, Austin G., Whiteside, Adam C., Hollenberg, Lloyd C. L.

Original
PDF
Post on X

Understand

The surface code is unarguably the leading quantum error correction code for 2-D nearest neighbor architectures, featuring a high threshold error rate of approximately 1%, low overhead implementations of the entire Clifford group, and flexible, arbitrarily long-range logical gates.

These highly desirable features come at the cost of significant classical processing complexity.
We show how to perform the processing associated with an nxn lattice of qubits, each being manipulated in a realistic, fault-tolerant manner, in O(n^2) average time per round of error correction.
We also describe how to parallelize the algorithm to achieve O(1) average processing per round, using only constant computing resources per unit area and local communication.

Towards practical classical processing for the surface code · Around

Built on

P. W. Shor, in Proc. 35th Annual Symposium on Foundations of Computer Science (1994), pp. 124–134, quant-ph/9508027
1994
Earlier work this paper cites.
S. Lloyd, Science 273
1996
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, quant-ph/9811052 (1998)
1998
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, J. Math. Phys. 43
2002
Earlier work this paper cites.
R. Raussendorf and J. Harrington, Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
R. Raussendorf, J. Harrington, and K. Goyal, New J. Phys. 9
2007
Earlier work this paper cites.

Similar

A. G. Fowler, A. M. Stephens, and P. Groszkowski, Phys. Rev. A 80
Original
2009
Cited alongside, same era.
V. Kolmogorov, Math. Prog. Comp. 1
2009
Cited alongside, same era.
M. Ohzeki, Phys. Rev. E 79
Original
2009
Cited alongside, same era.
S. L. A. de Queiroz, Phys. Rev. B 79
Original
2009
Cited alongside, same era.
D. Hanneke, J. P. Home, J. D. Jost, J. M. Amini, D. Leibfried, and D. J. Wineland, Nature Physics 6
Original
2009
Cited alongside, same era.
G. Duclos-Cianci and D. Poulin, Phys. Rev. Lett. 104

Then

S. D. Barrett and T. M. Stace, Phys. Rev. Lett. 105
Original
2010
Later among the works it cites.
D. S. Wang, A. G. Fowler, A. M. Stephens, and L. C. L. Hollenberg, Quant. Info. Comp. 10
Original
2010
Later among the works it cites.
D. S. Wang, A. G. Fowler, and L. C. L. Hollenberg, Phys. Rev. A 83
Original
2011
Closest in time.
M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, et al., arXiv:1109.3743 (2011)
Original
2011
Closest in time.
S. Jordan, Quantum algorithm zoo , http://math.nist.gov/quantum/zoo/ (2012)
2012
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2010

Cited alongside, same era.

J. Edmonds, Canad. J. Math. 17

Cited in the paper.

J. Edmonds, J. Res. Nat. Bur. Standards 69B

Cited in the paper.

A. G. Fowler, A. C. Whiteside, and L. C. L. Hollenberg, arXiv:1202.5602 (2012)

2012

Closest in time.