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2009

Fault Tolerance in Parity-State Linear Optical Quantum Computing

Hayes, A. J. F., Haselgrove, H. L., Gilchrist, Alexei et al.

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We use a combination of analytical and numerical techniques to calculate the noise threshold and resource requirements for a linear optical quantum computing scheme based on parity-state encoding.

Parity-state encoding is used at the lowest level of code concatenation in order to efficiently correct errors arising from the inherent nondeterminism of two-qubit linear-optical gates.
When combined with teleported error-correction (using either a Steane or Golay code) at higher levels of concatenation, the parity-state scheme is found to achieve a saving of approximately three orders of magnitude in resources when compared to a previous scheme, at a cost of a somewhat reduced noise threshold.

Fault Tolerance in Parity-State Linear Optical Quantum Computing · Around

Built on

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S. Redner, A Guide to First-Passage Processes (Cambridge University Press, Cambridge, 2001)
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A. J. F. Hayes, A. Gilchrist, C. R. Myers, and T. C. Ralph, J. Opt. B 6
2004
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D. E. Browne and T. Rudolph, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.

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Original
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Then

A. Gilchrist, A. J. F. Hayes, and T. C. Ralph, Phys. Rev. A 75
2007
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P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79
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A. P. Lund, T. C. Ralph, and H. L. Haselgrove, Phys. Rev. Lett. 100
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C. Lu, W. Gao, J. Zhang, X. Zhou, T. Yang, and J. Pan, Proceedings of the National Academy of Sciences 105
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