# 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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