  We present a noise deconvolution technique to remove a wide class of noises
when performing arbitrary measurements on qubit systems. In particular, we
derive the inverse map of the most common single qubit noisy channels and
exploit it at the data processing step to obtain noise-free estimates of
observables evaluated on a qubit system subject to known noise. We illustrate a
self-consistency check to ensure that the noise characterization is accurate
providing simulation results for the deconvolution of a generic Pauli channel,
as well as experimental evidence of the deconvolution of decoherence noise
occurring on Rigetti quantum hardware.
