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2012

Analytic asymptotic performance of topological codes

Fowler, Austin G.

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Topological quantum error correction codes are extremely practical, typically requiring only a 2-D lattice of qubits with tunable nearest neighbor interactions yet tolerating high physical error rates p.

It is computationally expensive to simulate the performance of such codes at low p, yet this is a regime we wish to study as low physical error rates lead to low qubit overhead.
We present a very general method of analytically estimating the low p performance of the most promising class of topological codes.
Our method can handle arbitrary periodic quantum circuits implementing the error detection associated with this class of codes, and arbitrary Pauli error models for each type of quantum gate.

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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.
H. Bombin and M. A. Martin-Delgado, Phys. Rev. Lett. 97
2006
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.
S. J. Devitt, A. G. Fowler, A. M. Stephens, A. D. Greentree, L. C. L. Hollenberg, W. J. Munro, and K. Nemoto, New. J. Phys. 11
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2009
Earlier work this paper cites.

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N. C. Jones, R. Van Meter, A. G. Fowler, P. L. McMahon, J. Kim, T. D. Ladd, and Y. Yamamoto, Phys. Rev. X 2
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A. G. Fowler, arXiv:1206.0800 (2012)
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