Abstract
Multilevel quantum states (qudits) represent a promising platform for scalable quantum comput-ing. In this paper, we present a method for precisely controlling such systems using fuzzy quantum measure-ments. The developed method is used for a precise reconstruction of quantum states under conditions of a significant effect of decoherence and quantum noise. Protocols for quantum measurements based on mutu-ally unbiased bases (MUBs) of various dimensions are considered. The accuracy characteristics of sets of ran-dom states uniformly distributed with respect to the Haar measure are studied.
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