Clarification on the Mapping of Reversible Circuits to the NCV-v1 Library

TL;DR

This paper clarifies the mapping process of reversible circuits to the NCV-v1 quantum gate library, which uses multi-valued qudits instead of qubits, providing detailed explanations of the underlying concepts.

Contribution

It offers an extended and detailed description of the NCV-v1 library and its application in quantum circuit design, addressing previous brief descriptions.

Findings

Enhanced understanding of the NCV-v1 library and its physical realization.

Clarification of the mapping process for reversible circuits to the NCV-v1 library.

Foundation for further research in multi-valued quantum systems.

Abstract

In previous work and motivated by a theoretical discussion on physical realizations, a new quantum gate library (the NCV-v1 library) for electronic design automation of quantum circuits has been proposed. Here, qudits instead of qubits are assumed, i.e. a basic building block which does not rely on a two level quantum system but a (multiple-valued) d-level quantum system is assumed. However, the descriptions on the foundation of this new library remained brief. This technical report provides an extended description of the applied ideas and concepts.