English

Repetition Versus Noiseless Quantum Codes For Correlated Errors

Quantum Physics 2015-05-13 v4

Abstract

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.

Keywords

Cite

@article{arxiv.0906.3787,
  title  = {Repetition Versus Noiseless Quantum Codes For Correlated Errors},
  author = {Carlo Cafaro and Stefano Mancini},
  journal= {arXiv preprint arXiv:0906.3787},
  year   = {2015}
}

Comments

few changes, 14 pages

R2 v1 2026-06-21T13:15:48.840Z