  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.
