Continuous-variable quantum computation with spatial degrees of freedom of photons

@article{Tasca2011ContinuousvariableQC,
  title={Continuous-variable quantum computation with spatial degrees of freedom of photons},
  author={Daniel S. Tasca and Rafael M. Gomes and Fabricio Toscano and Paulo H. Souto Ribeiro and Stephen Patrick Walborn},
  journal={Physical Review A},
  year={2011},
  volume={83},
  pages={052325}
}
We discuss the use of the transverse spatial degrees of freedom of photons propagating in the paraxial approximation for continuous-variable information processing. Given the wide variety of linear optical devices available, a diverse range of operations can be performed on the spatial degrees of freedom of single photons. Here we show how to implement a set of continuous quantum logic gates which allow for universal quantum computation. In contrast with the usual quadratures of the… 

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