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Quantum Error Correction Fault Tolerance

New lower bounds on the non-zero capacity of Pauli Channels

arXiv
Authors: Jesse Fern, K. Birgitta Whaley

Year

2007

Paper ID

49385

Status

Preprint

Abstract Read

~2 min

Abstract Words

69

Citations

N/A

Abstract

We study encodings that give the best known thresholds for the non-zero capacity of quantum channels, i.e., the upper bound for correctable noise, using an entropic approach to calculation of the threshold values. Our results show that Pauli noise is correctable up to the hashing bound. For a depolarizing channel, this approach allows one to achieve a non-zero capacity for a fidelity (probability of no error) of f=0.80870.

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  • We study encodings that give the best known thresholds for the non-zero capacity of quantum channels, i.e., the upper bound for correctable noise, using an entropic approach to...

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