Repetition Versus Noiseless Quantum Codes For Correlated Errors

Details Repetition Versus Noiseless Quantum Codes For Correlated Errors Repetition Versus Noiseless Quantum Codes For Correlated Errors

2009-06-20

arxiv.org/abs/0906.3787v4

Phys. Lett. A374, 2688 (2010)

Physics

Quantum Physics

few changes, 14 pages

Scientific paper

We study the performance of simple quantum error correcting codes with respect to correlated noise errors characterized by a finite correlation strength. Specifically, we consider bit flip (phase flip) noisy quantum memory channels and use repetition and noiseless quantum codes. We characterize the performance of the codes by means of the entanglement fidelity as function of the error probability and degree of memory. Finally, comparing the entanglement fidelities of repetition and noiseless quantum codes, we find a threshold for the correlation strength that allows to select the code with better performance.

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