There and back again: A circuit extraction tale

@article{Backens2021ThereAB,
  title={There and back again: A circuit extraction tale},
  author={Miriam Backens and Hector Miller-Bakewell and Giovanni de Felice and Leo Lobski and John van de Wetering},
  journal={Quantum},
  year={2021},
  volume={5},
  pages={421}
}
Translations between the quantum circuit model and the measurement-based one-way model are useful for verification and optimisation of quantum computations. They make crucial use of a property known as gflow. While gflow is defined for one-way computations allowing measurements in three different planes of the Bloch sphere, most research so far has focused on computations containing only measurements in the XY-plane. Here, we give the first circuit-extraction algorithm to work for one-way… 

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