Quantum error correction allows to actively correct errors occurring in a quantum computation when the noise is weak enough. To make this error correction competitive information about the specific noise is required. Based on quantum system characterization, we have developed a comprehensive theory for the estimation of Pauli noise from syndrome measurements.

https://arxiv.org/abs/2107.14252 (estimation of physical error rates)

https://arxiv.org/abs/2209.09267 (estimation of logical error rates)

https://arxiv.org/abs/2010.02243 (estimation algorithm for concatenated codes)