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Communications in Theoretical Physics

Knotted Picture of Single Qubit Quantum Logic Gate

Gu Zhi-Yu, Qian Shang-Wu

Published May 1, 2009• 3 citations
Publisher

Abstract

This paper briefly introduces the five types of the surgical operations in knot theory and obtains the expression of single qubit quantum logic gate in terms of these surgical operations.
DOI
10.1088/0253-6102/51/5/01

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A quantum gate or quantum logic gate is an elementary quantum circuit working on a small number of qubits. It means that quantum gates can grasp two primary feature of quantum mechanics that are entirely out of reach for classical gates : superposition and entanglement. In simpler words quantum gates are reversible. In classical computing sets of logic gates are connected to construct digital circuits. Similarly, quantum logic gates operates on input states that are generally in superposition states to compute the output. In this paper the authors will discuss in detail what is single and multiple qubit gates and scope and challenges in quantum gates.