We propose a model for quantum tomography protocols of ion-trap qudits that incorporates parameter-setting errors in measurement transformations. A comparative analysis of reconstruction accuracy under transformation uncertainty is conducted for both the conventional projective measurement approach and the fuzzy quantum measurement framework. The results demonstrate a substantial advantage of the fuzzy measurement model in the presence of transformation inaccuracies. Furthermore, the model enables the construction of a complete set of two-level unitary transformations applicable to qudit states.
Koksharov et al. (2025) studied this question.