Symmetry constraints on temporal order in measurement-based quantum computation

@article{Raussendorf2016SymmetryCO,
  title={Symmetry constraints on temporal order in measurement-based quantum computation},
  author={Robert Raussendorf and Pradeep Kiran Sarvepalli and Tzu-Chieh Wei and Poya Haghnegahdar},
  journal={Inf. Comput.},
  year={2016},
  volume={250},
  pages={115-138}
}
We discuss the interdependence of resource state, measurement setting and temporal order in measurement-based quantum computation. The possible temporal orders of measurement events are constrained by the principle that the randomness inherent in quantum measurement should not affect the outcome of the computation. We provide a classification for all temporal relations among measurement events compatible with a given initial stabilizer state and measurement setting, in terms of a matroid… 

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