Optimal two-qubit circuits for universal fault-tolerant quantum computation

@article{Glaudell2020OptimalTC,
  title={Optimal two-qubit circuits for universal fault-tolerant quantum computation},
  author={Andrew N. Glaudell and Neil J. Ross and Jacob M. Taylor},
  journal={npj Quantum Information},
  year={2020},
  volume={7},
  pages={1-11}
}
We study two-qubit circuits over the Clifford+CS gate set, which consists of the Clifford gates together with the controlled-phase gate CS = diag(1, 1, 1,  i ). The Clifford+CS gate set is universal for quantum computation and its elements can be implemented fault-tolerantly in most error-correcting schemes through magic state distillation. Since non-Clifford gates are typically more expensive to perform in a fault-tolerant manner, it is often desirable to construct circuits that use few CS… 
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