TY - JOUR
T1 - Universal quantum computation with continuous-variable Abelian anyons
AU - Milne, Darran F.
AU - Korolkova, Natalia V.
AU - van Loock, Peter
PY - 2012/5/29
Y1 - 2012/5/29
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/84861689736
U2 - 10.1103/PhysRevA.85.052325
DO - 10.1103/PhysRevA.85.052325
M3 - Article
SN - 1050-2947
VL - 85
SP - -
JO - Physical Review. A, Atomic, molecular, and optical physics
JF - Physical Review. A, Atomic, molecular, and optical physics
IS - 5
M1 - 052325
ER -