Fault tolerance in parity-state linear optical quantum computing

A. J F Hayes, H. L. Haselgrove, Alexei Gilchrist, T. C. Ralph

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Abstract

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 the cluster state scheme, at a cost of a somewhat reduced noise threshold.

Original languageEnglish
Article number022323
Pages (from-to)1-9
Number of pages9
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume82
Issue number2
DOIs
Publication statusPublished - 23 Aug 2010

Bibliographical note

Hayes, A.J.F., Haselgrove, H.L., Gilchrist, Alexei & Ralph, T.C., Phys. Rev. A 82, 022323 (2010) [9 pages]. Copyright 2010 by The American Physical Society. The original article can be found at http://dx.doi.org/10.1103/PhysRevA.82.022323

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