Graphs States and the necessity of Euler Decomposition

@inproceedings{Duncan2009GraphsSA,
  title={Graphs States and the necessity of Euler Decomposition},
  author={Ross Duncan and Simon Perdrix},
  year={2009}
}
Coecke and Duncan recently introduced a categorical formalisation of the interaction of complementary quantum observables. In this paper we use their diagrammatic language to study graph states, a computationally interesting class of quantum states. We give a graphical proof of the fixpoint property of graph states. We then introduce a new equation, for the Euler decomposition of the Hadamard gate, and demonstrate that Van den Nest's theorem--locally equivalent graphs represent the same… CONTINUE READING

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