Making a circulant 2-qubit entangling gate
Quantum Physics
2015-01-07 v1 Information Theory
Group Theory
math.IT
Quantum Algebra
Representation Theory
Abstract
We present a way to physically realize a circulant 2-qubit entangling gate in the Kauffman-Jones version of SU(2) Chern-Simons theory at level 4. Our approach uses qubit and qutrit ancillas, braids, fusions and interferometric measurements. Our qubit is formed by four anyons of topological charges 1221. Among other 2-qubit entangling gates we generate in the present paper, we produce in particular the circulant gate CEG = 1/4 I + I sqrt(3)/4 J - 3/4 J^2 + I sqrt(3)/4 J^3, where J denotes the permutation matrix associated with the cycle (1432) and I denotes the identity matrix.
Keywords
Cite
@article{arxiv.1501.01013,
title = {Making a circulant 2-qubit entangling gate},
author = {Claire I. Levaillant},
journal= {arXiv preprint arXiv:1501.01013},
year = {2015}
}
Comments
21 pages, 33 figures