Benjamin A. Blumer

The University of Calgary, Calgary, Alberta, Canada

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Publications (1)2.81 Total impact

  • Source
    Benjamin A. Blumer · Michael S. Underwood · David L. Feder
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    ABSTRACT: We consider the effects of plane-wave states scattering off finite graphs, as an approach to implementing single-qubit unitary operations within the continuous-time quantum walk framework of universal quantum computation. Four semi-infinite 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 single-qubit 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.
    Preview · Article · Nov 2011 · Physical Review A

Publication Stats

2 Citations
2.81 Total Impact Points

Top Journals


  • 2011
    • The University of Calgary
      • Department of Physics and Astronomy
      Calgary, Alberta, Canada