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Logical error rate in the Pauli twirling approximation. | LitMetric

Logical error rate in the Pauli twirling approximation.

Sci Rep

Department of Physics and Astronomy, University of Georgia, Athens, Georgia 30602, USA.

Published: September 2015

The performance of error correction protocols are necessary for understanding the operation of potential quantum computers, but this requires physical error models that can be simulated efficiently with classical computers. The Gottesmann-Knill theorem guarantees a class of such error models. Of these, one of the simplest is the Pauli twirling approximation (PTA), which is obtained by twirling an arbitrary completely positive error channel over the Pauli basis, resulting in a Pauli channel. In this work, we test the PTA's accuracy at predicting the logical error rate by simulating the 5-qubit code using a 9-qubit circuit with realistic decoherence and unitary gate errors. We find evidence for good agreement with exact simulation, with the PTA overestimating the logical error rate by a factor of 2 to 3. Our results suggest that the PTA is a reliable predictor of the logical error rate, at least for low-distance codes.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4588586PMC
http://dx.doi.org/10.1038/srep14670DOI Listing

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