Semiclassical formulation of the Gottesman-Knill theorem and universal quantum computation

@article{Kocia2017SemiclassicalFO,
  title={Semiclassical formulation of the Gottesman-Knill theorem and universal quantum computation},
  author={Lucas Kocia and Yifei Huang and Peter Love},
  journal={Physical Review A},
  year={2017},
  volume={96}
}
  • Lucas Kocia, Yifei Huang, Peter Love
  • Published 2017
  • Physics
  • Physical Review A
  • We give a path integral formulation of the time evolution of qudits of odd dimension. This allows us to consider semiclassical evolution of discrete systems in terms of an expansion of the propagator in powers of $\hbar$. The largest power of $\hbar$ required to describe the evolution is a traditional measure of classicality. We show that the action of the Clifford operators on stabilizer states can be fully described by a single contribution of a path integral truncated at order $\hbar^0$ and… CONTINUE READING

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