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2016•Unpublished venueRequires access

Improving the Realization of Multiple-Control Toffoli Gates Using the NCVW Quantum Gate Library

Laxmidhar Biswal, Chandan Bandyopadhyay, Robert Wille, Rolf Drechsler, Hafizur Rahaman

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Abstract

Multiple Control Toffoli (MCT) gates are the main constituent of reversible circuits. For quantum circuits, MCT gates are realized using quantum gate libraries such as NCV or NCVW which are composed of universal quantum gates like NOT, CNOT, V/V+, and W/W+. In order to improve the design of quantum circuits, the mapping of MCT gates to a cascade of these quantum gates has to be improved as well. In this work, we propose reconfigured structures of quantum gates realizing MCT gates. To this end, we rely on the established mapping structure, but append redundant gates which can be used afterwards for simplifications. Eventually, the proposed design is mapped to an NCVW quantum circuit. We have successfully tested our mapping technique. The obtained results have experimentally been compared to related work.

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What this paper is about

Multiple Control Toffoli (MCT) gates are the main constituent of reversible circuits. For quantum circuits, MCT gates are realized using quantum gate libraries such as NCV or NCVW which are composed of universal quantum gates like NOT, CNOT, V/V+, and W/W+. In order to improve the design of quantum circuits, the mapping of MCT gates to a cascade of these quantum gates has to be improved as well. In this work, we propose reconfigured structures of quantum gates realizing MCT gates. To this end, we rely on the established mapping structure, but append redundant gates which can be used afterwards for simplifications. Eventually, the proposed design is mapped to an NCVW quantum circuit. We have successfully tested our mapping technique. The obtained results have experimentally been compared to related work.

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Available abstract

Multiple Control Toffoli (MCT) gates are the main constituent of reversible circuits. For quantum circuits, MCT gates are realized using quantum gate libraries such as NCV or NCVW which are composed of universal quantum gates like NOT, CNOT, V/V+, and W/W+. In order to improve the design of quantum circuits, the mapping of MCT gates to a cascade of these quantum gates has to be improved as well. In this work, we propose reconfigured structures of quantum gates realizing MCT gates. To this end, we rely on the established mapping structure, but append redundant gates which can be used afterwards for simplifications. Eventually, the proposed design is mapped to an NCVW quantum circuit. We have successfully tested our mapping technique. The obtained results have experimentally been compared to related work.

Key concepts: Toffoli gate, Quantum gate, Controlled NOT gate, Quantum circuit, Logic gate, Computer science, Electronic circuit, Quantum

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