Precise Tomography of Qudits
Yu. I. Bogdanov, Nadezhda A. Bogdanova, Yuri A. Kuznetsov, K. B. Koksharov, Vladimir F. Lukichev · Russian Microelectronics · 2023
Abstract Multilevel quantum states (qudits) represent a promising platform for scalable quantum computing. In this paper, we present a method for precisely controlling such systems using fuzzy quantum measurements. 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 mutually unbiased bases (MUBs) of various dimensions are considered. The accuracy characteristics of sets of random states uniformly distributed with respect to the Haar measure are studied.