Universal quantum computation with continuous-variable Abelian anyons

Darran F. Milne, Natalia V. Korolkova, Peter van Loock

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Article number052325
Pages (from-to)-
Number of pages7
JournalPhysical Review. A, Atomic, molecular, and optical physics
Issue number5
Publication statusPublished - 29 May 2012


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