Fetching the paper…

Reading the bibliography…

2013

Optimal complexity correction of correlated errors in the surface code

Fowler, Austin G.

Original
PDF
Post on X

Understand

The surface code is designed to suppress errors in quantum computing hardware and currently offers the most believable pathway to large-scale quantum computation.

The surface code requires a 2-D array of nearest-neighbor coupled qubits that are capable of implementing a universal set of gates with error rates below approximately 1%, requirements compatible with experimental reality.
Consequently, a number of authors are attempting to squeeze additional performance out of the surface code.
We describe an optimal complexity error suppression algorithm, parallelizable to O(1) given constant computing resources per unit area, and provide evidence that this algorithm exploits correlations in the error models of each gate in an asymptotically optimal manner.

Optimal complexity correction of correlated errors in the surface code · Around

Built on

D. Gottesman, Stabilizer Codes and Quantum Error Correction , Ph.D. thesis, Caltech (1997), quant-ph/9705052
1997
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.
D. S. Wang, A. G. Fowler, A. M. Stephens, and L. C. L. Hollenberg, Quant. Info. Comp. 10
Original
2010
Cited alongside, same era.
A. G. Fowler, D. S. Wang, and L. C. L. Hollenberg, Quant. Info. Comput. 11
Original
2011
Cited alongside, same era.
J. R. Wootton and D. Loss, Phys. Rev. Lett. 109
Original
2012
Cited alongside, same era.
H. Bombin, R. S. Andrist, M. Ohzeki, H. G. Katzgraber, and M. A. Martin-Delgado, Phys. Rev. X 2
Original
2012
Cited alongside, same era.
A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, Phys. Rev. A 86
Original
Cited in the paper.
A. G. Fowler, A. C. Whiteside, and L. C. L. Hollenberg, Phys. Rev. Lett. 108
Original
Cited in the paper.
A. G. Fowler, A. C. Whiteside, and L. C. L. Hollenberg, Phys. Rev. A 86
Original
Cited in the paper.
A. G. Fowler, Phys. Rev. A 87
Original
Cited in the paper.
A. G. Fowler, arXiv:1307.0689 (2013b)
Original
Cited in the paper.
G. Duclos-Cianci and D. Poulin, Phys. Rev. Lett. 104
Original
Cited in the paper.
G. Duclos-Cianci and D. Poulin, IEEE Information Theory Workshop , 1 (2010b), arXiv:1006.1362
Original
Cited in the paper.

Then

A. G. Fowler, Phys. Rev. Lett. 109
Original
2012
Later among the works it cites.
G. Duclos-Cianci and D. Poulin, arXiv:1304.6100 (2013)
Original
2013
Closest in time.
A. Hutter, J. R. Wootton, and D. Loss, arXiv:1302.2669 (2013)
Original
2013
Closest in time.
S. Bravyi and A. Vargo, arXiv:1308.6270 (2013)
Original
2013
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…