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Paper 1

A simple comparative analysis of exact and approximate quantum error correction

Carlo Cafaro, Peter van Loock

Year
2013
Journal
arXiv preprint
DOI
arXiv:1308.4581
arXiv
1308.4581

We present a comparative analysis of exact and approximate quantum error correction by means of simple unabridged analytical computations. For the sake of clarity, using primitive quantum codes, we study the exact and approximate error correction of the two simplest unital (Pauli errors) and nonunital (non-Pauli errors) noise models, respectively. The similarities and differences between the two scenarios are stressed. In addition, the performances of quantum codes quantified by means of the entanglement fidelity for different recovery schemes are taken into consideration in the approximate case. Finally, the role of self-complementarity in approximate quantum error correction is briefly addressed.

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Paper 2

Fault tolerance with noisy and slow measurements and preparation.

Paz-Silva GA, Brennen GK, Twamley J.

Year
2010
Journal
Phys Rev Lett
DOI
10.1103/physrevlett.105.100501
arXiv
-

No abstract.

Open paper