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Universal quantum computation with continuous-variable Abelian anyons

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van Loock,  Peter
van Loock Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Milne, D. F., Korolkova, N. V., & van Loock, P. (2012). Universal quantum computation with continuous-variable Abelian anyons. PHYSICAL REVIEW A, 85(5): 052325. doi:10.1103/PhysRevA.85.052325.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-68CB-C
Abstract
We describe how continuous-variable Abelian anyons, created on the surface of a continuous-variable analog of Kitaev's lattice model can be utilized for quantum computation. In particular, we derive protocols for the implementation of quantum gates using topological operations. We find that the topological operations alone are insufficient for universal quantum computation, which leads us to study additional nontopological operations such as offline squeezing and single-mode measurements. It is shown that these in conjunction with a non-Gaussian element allow for universal quantum computation using continuous-variable Abelian anyons.