KUANTUM KÜTRİT SİSTEMLER İÇİN GROVER ALGORİTMASI KULLANILARAK BİR OPTİMİZASYON PROBLEMİNİN ÇÖZÜMÜ

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Thesis Type: Postgraduate

Institution Of The Thesis: Ataturk University, Fen Fakültesi, Matematik, Turkey

Approval Date: 2025

Thesis Language: Turkish

Student: Orhan AMİROV

Supervisor: Mesut Karabacak

Open Archive Collection: AVESIS Open Access Collection

Abstract:

In this study,the problem of finding solutions to an optimization problem using Grover's algorithm applied to quantum qutrit sytems is investigated. Unlike conventional qubit-based approaches, qutrits-three-level quantum systems-offer a richer Hilbert space, potentially enabling more efficient quantum search processes. The proposed approach aims to lay the groundwork for addressing more complex and larger-scale problems by leveraging the advantages of higher-dimensional quantum systems. This work serves as a preliminary study toward extending quantum algorithm applications beyond binary quantum architectures.