Published In

Journal of Physics A: Mathematical and General

Document Type

Article

Publication Date

2005

Subjects

Quantum theory, Quantum computers -- Testing, Quantum computing

Abstract

This paper investigates the synthesis of quantum networks built to realize ternary switching circuits in the absence of ancilla bits. The results we established are twofold. The first shows that ternary Swap, ternary NOT and ternary Toffoli gates are universal for the realization of arbitrary n × n ternary quantum switching networks without ancilla bits. The second result proves that all n×n quantum ternary networks can be generated by NOT, Controlled-NOT, Multiply-Two and Toffoli gates. Our approach is constructive.

Description

This is the publisher's final PDF. Copyright (2005) Bioinfo Publications. Open Access Journals: published articles are licensed under the terms of the Creative Commons Attribution non-commercial License, which permits unrestricted, non-commercial use, distribution and reproduction in any medium, providing that the work is properly cited. Version of record can be found at http://dx.doi.org/10.1088/0305-4470/38/44/006

DOI

10.1088/0305-4470/38/44/006

Persistent Identifier

http://archives.pdx.edu/ds/psu/13068

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