  The characterization of quantum devices is crucial for their practical
implementation but can be costly in experimental effort and classical
postprocessing. Therefore, it is desirable to measure only the information that
is relevant for specific applications and develop protocols that require little
additional effort. In this work, we focus on the characterization of quantum
computers in the context of stabilizer quantum error correction. For arbitrary
stabilizer codes, subsystem codes, and data syndrome codes, we prove that the
logical error channel induced by Pauli noise can be estimated from syndrome
data under minimal conditions. More precisely, for any such code, we show that
the estimation is possible as long as the code can correct the noise.
