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Paper 1

Using concatenated quantum codes for universal fault-tolerant quantum gates

Tomas Jochym-O'Connor, Raymond Laflamme

Year
2013
Journal
arXiv preprint
DOI
arXiv:1309.3310
arXiv
1309.3310

We propose a method for universal fault-tolerant quantum computation using concatenated quantum error correcting codes. Namely, other than computational basis state preparation as required by the DiVincenzo criteria [1], our scheme requires no special ancillary state preparation to achieve universality, as opposed to schemes such as magic state distillation. The concatenation scheme exploits the transversal properties of two different codes, combining them to provide a means to protect against low-weight arbitrary errors. We give the required properties of the error correcting codes to ensure universal fault-tolerance and discuss a particular example using the 7-qubit Steane and 15-qubit Reed-Muller codes. We believe that optimizing the codes used in such a scheme could provide a useful alternative to state distillation schemes that exhibit high overhead costs.

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Paper 2

Building a spin quantum bit register using semiconductor nanowires.

Baugh J, Fung JS, Mracek J, LaPierre RR.

Year
2010
Journal
Nanotechnology
DOI
10.1088/0957-4484/21/13/134018
arXiv
-

No abstract.

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