Implementation of holonomic quantum gates by an isospectral deformation of an Ising dimer chain
Quantum Physics
2008-11-11 v1
Abstract
We exactly construct one- and two-qubit holonomic quantum gates in terms of isospectral deformations of an Ising model Hamiltonian. A single logical qubit is constructed out of two spin-1/2 particles; the qubit is a dimer. We find that the holonomic gates obtained are discrete but dense in the unitary group. Therefore an approximate gate for a desired one can be constructed with arbitrary accuracy.
Cite
@article{arxiv.0809.1705,
title = {Implementation of holonomic quantum gates by an isospectral deformation of an Ising dimer chain},
author = {Yukihiro Ota and Masamitsu Bando and Yasusi Kondo and Mikio Nakahara},
journal= {arXiv preprint arXiv:0809.1705},
year = {2008}
}
Comments
6 pages, 5 figures