Publications (1)2.81 Total impact
 [Show abstract] [Hide abstract]
ABSTRACT: We consider the effects of planewave states scattering off finite graphs, as an approach to implementing singlequbit unitary operations within the continuoustime quantum walk framework of universal quantum computation. Four semiinfinite tails are attached at arbitrary points of a given graph, representing the input and output registers of a single qubit. For a range of momentum eigenstates, we enumerate all of the graphs with up to $n=9$ vertices for which the scattering implements a singlequbit gate. As $n$ increases, the number of new unitary operations increases exponentially, and for $n>6$ the majority correspond to rotations about axes distributed roughly uniformly across the Bloch sphere. Rotations by both rational and irrational multiples of $\pi$ are found.Physical Review A 11/2011; 84(6). DOI:10.1103/PhysRevA.84.062302 · 2.81 Impact Factor
Publication Stats
2  Citations  
2.81  Total Impact Points  
Top Journals
Institutions

2011

The University of Calgary
 Department of Physics and Astronomy
Calgary, Alberta, Canada
