Universal continuous-variable quantum computation: Requirement of optical nonlinearity for photon counting

@article{Bartlett2001UniversalCQ,
  title={Universal continuous-variable quantum computation: Requirement of optical nonlinearity for photon counting},
  author={Stephen D. Bartlett and Barry C. Sanders},
  journal={Physical Review A},
  year={2001},
  volume={65},
  pages={042304}
}
Although universal continuous-variable quantum computation cannot be achieved via linear optics (including squeezing), homodyne detection, and feed-forward, inclusion of ideal photon-counting measurements overcomes this obstacle. These measurements are sometimes described by arrays of beam splitters to distribute the photons across several modes. We show that such a scheme cannot be used to implement ideal photon counting and that such measurements necessarily involve nonlinear evolution… 

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