Graphical description of the action of Clifford operators on stabilizer states

ORAL

Abstract

We introduce a graphical representation of stabilizer states, which reduces to standard graphs for graph states. The effects of Clifford operators on stabilizer states are then translated into graph operations on the corresponding stabilizer state graphs, and we find that they are completely described in terms of loop complementation and local complementation.

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Authors

  • Matthew Elliott

    • The University of New Mexico

  • Bryan Eastin

    • University of New Mexico
    • The University of New Mexico

  • Carlton Caves

    • University of New Mexico
    • The University of New Mexico
    • Dept. of Physics \& Astronomy, University of New Mexico