Characterization of spatially correlated errors in controlled quantum registers

Spatially correlated noise undermines fault-tolerant quantum computation by violating the assumption of independent errors in error correction protocols. In our work, we utilize the time-convolutionless framework from the theory of open quantum systems, which facilitates the study of the effects of correlated noise on the controlled evolution of quantum registers. In particular, we are interested in the emergence of collective phenomena in multi-qubit systems, such as superradiance and superdecoherence, as indicators of spatially correlated errors.