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2012

A bridge to lower overhead quantum computation

Fowler, Austin G., Devitt, Simon J.

Understand

Two primary challenges stand in the way of practical large-scale quantum computation, namely achieving sufficiently low error rate quantum gates and implementing interesting quantum algorithms with a physically reasonable number of qubits.

In this work we address the second challenge, presenting a new technique, bridge compression, which enables remarkably low volume structures to be found that implement complex computations in the surface code.
The surface code has a number of highly desirable properties, including the ability to achieve arbitrarily reliable computation given sufficient qubits and quantum gate error rates below approximately 1%, and the use of only a 2-D array of qubits with nearest neighbor interactions.
As such, our compression technique is of great practical relevance.

Built on

P. W. Shor, Phys. Rev. A 52
1995
Earlier work this paper cites.
A. R. Calderbank and P. W. Shor, Phys. Rev. A 54
1996
Earlier work this paper cites.
A. M. Steane, Proc. R. Soc. Lond. A 452
1996
Earlier work this paper cites.
D. Gottesman, 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.
E. Knill, Nature 434
2005
Earlier work this paper cites.
S. Bravyi and A. Kitaev, Phys. Rev. A 71
2005
Earlier work this paper cites.
B. W. Reichardt, Quant. Info. Proc. 4
2005
Earlier work this paper cites.
D. Bacon, Phys. Rev. A 73
2006
Earlier work this paper cites.
H. Bombin and M. A. Martin-Delgado, Phys. Rev. Lett. 97
2006
Earlier work this paper cites.