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Multiple-Valued Logic Operations in Quantum Computing

Hafiz Md. Hasan Babu

Published Aug 29, 2023• 0 citations

Abstract

Multi-Valued quantum computing is a challenging field for researchers. Two-valued quantum computing is not so old, but multi-valued quantum computing is a new topic to discuss. Designing with multiple-valued logic has obtained a lot of attention in the previous three decades. Multiple-valued logic emerged as a separate study in the early 1920s, thanks to a Polish philosopher named Lukasiewicz, his goal was to add a third value to the binary system. The Lukasiewicz system is the result of this investigation. This chapter explores the quantum world with multiple-valued logic systems. All operations will be covered that learned before in the binary quantum logic system. The basic operations of quantum computing in the ternary logic system will be implemented. In the two-valued quantum computing, several quantum fundamental gates for reversible logic are learned which include - the Pauli gate, Pauli-X gate, Hadamard gate, Toffoli gate, Fredkin gate, Deutsch gate, and Swap gate.

DOI: 10.1201/9781003381938-10

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