Table of Contents
Physics Research International
Volume 2014 (2014), Article ID 479320, 5 pages
http://dx.doi.org/10.1155/2014/479320
Research Article

Various Constructions of Qudit SWAP Gate

Materials Physics Division, School of Advanced Sciences, VIT University, Vellore 632014, India

Received 27 May 2014; Revised 15 July 2014; Accepted 16 July 2014; Published 5 August 2014

Academic Editor: Franco Nori

Copyright © 2014 S. Balakrishnan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

It is known that SWAP operation for quantum systems of arbitrary dimension can be implemented using various qudit gates. In this paper, equivalence of some important qudit operations is demonstrated. Equivalence of the qudit operations is exploited to minimize the circuit complexity in the previously proposed qudit SWAP gate constructions. Further, constructions of qudit SWAP operation with minimum number of qudit gates are also proposed. Importantly, these circuit constructions of SWAP retain its properties like symmetry and simplicity.