Precise Tomography of Qudits

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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.

About the authors

Yu. I. Bogdanov

Valiev Institute of Physics and Technology Institute, Russian Academy of Sciences

Email: bogdanov_yurii@inbox.ru
Moscow, 117218 Russia

N. A. Bogdanova

Valiev Institute of Physics and Technology Institute, Russian Academy of Sciences

Email: bogdanov_yurii@inbox.ru
Moscow, 117218 Russia

Yu. A. Kuznetsov

Valiev Institute of Physics and Technology Institute, Russian Academy of Sciences

Email: bogdanov_yurii@inbox.ru
Moscow, 117218 Russia

K. B. Koksharov

Valiev Institute of Physics and Technology Institute, Russian Academy of Sciences

Email: bogdanov_yurii@inbox.ru
Moscow, 117218 Russia

V. F. Lukichev

Valiev Institute of Physics and Technology Institute, Russian Academy of Sciences

Author for correspondence.
Email: bogdanov_yurii@inbox.ru
Moscow, 117218 Russia

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Copyright (c) 2023 Ю.И. Богданов, Н.А. Богданова, Ю.А. Кузнецов, К.Б. Кокшаров, В.Ф. Лукичёв

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