2019•AIP conference proceedingsRequires access

Development of some two and three qutrit quantum logic gates

Sevcan Terzi, Azmi Gençten

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Abstract

Quantum information processing has become a promising research area. In quantum information processing qubits and qutrits will be used instead of bits. A qubit is a two level quantum system and a qutrit is a three level quantum system. Zeeman levels of spin-1 electron or nucleus can be considered as qutrit states. In this study, first, two and three qutrit SWAP logic gates are developed. For two qutrit states, there exist different types of CNOT quantum logic gates. The relationships between these different types of CNOT gates are obtained in this study.

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What this paper is about

Quantum information processing has become a promising research area. In quantum information processing qubits and qutrits will be used instead of bits. A qubit is a two level quantum system and a qutrit is a three level quantum system. Zeeman levels of spin-1 electron or nucleus can be considered as qutrit states. In this study, first, two and three qutrit SWAP logic gates are developed. For two qutrit states, there exist different types of CNOT quantum logic gates. The relationships between these different types of CNOT gates are obtained in this study.

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Available abstract

Quantum information processing has become a promising research area. In quantum information processing qubits and qutrits will be used instead of bits. A qubit is a two level quantum system and a qutrit is a three level quantum system. Zeeman levels of spin-1 electron or nucleus can be considered as qutrit states. In this study, first, two and three qutrit SWAP logic gates are developed. For two qutrit states, there exist different types of CNOT quantum logic gates. The relationships between these different types of CNOT gates are obtained in this study.

Key concepts: Qutrit, Controlled NOT gate, Quantum gate, Quantum logic, Qubit, Quantum error correction, Quantum information, Quantum circuit

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