Generality of the concatenated five-qubit code

Abstract

In this work, a quantum error correction (QEC) procedure with the concatenated five-qubit code is used to construct a near-perfect effective qubit channel (with a error below $10^{-5}$) from arbitrary noise channels. The exact performance of the QEC is characterized by a Choi matrix, which can be obtained via a simple and explicit protocol. In a noise model with five free parameters, our numerical results indicate that the concatenated five-qubit code is general: To construct a near-perfect effective channel from the noise channels, the necessary size of the concatenated five-qubit code depends only on the entanglement fidelity of the initial noise channels.

arXiv comment9 pages, 4 figures; accepted for publication in Phys. Rev. A

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Cited by in corpus (3)

• Errors and pseudo-thresholds for incoherent and coherent noise
• Concatenating quantum error-correcting codes with decoherence-free subspaces and vice versa
• Robustness of the concatenated quantum error-correction protocol against noise for channels affected by fluctuation