DESIGN OF FUZZY QUANTUM MEASUREMENT PROTOCOLS FOR ION-BASED QUDITS

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Abstract

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.

About the authors

K. B. Koksharov

National Research University MIET; National Research Center "Kurchatov Institute" — Valley Institute of Physics and Technology

Email: kirill.koksharov7@gmail.com
Zelengrad, Russia; Moscow, Russia

Yu. I. Bogdanov

National Research University MIET; National Research Center "Kurchatov Institute" — Valley Institute of Physics and Technology

Zelengrad, Russia; Moscow, Russia

B. I. Bantysh

National Research Center "Kurchatov Institute" — Valley Institute of Physics and Technology

Moscow, Russia

V. F. Lukichev

National Research Center "Kurchatov Institute" — Valley Institute of Physics and Technology

Moscow, Russia

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