Universal linear Bogoliubov transformations through one-way quantum computation
Quantum Physics
2010-06-15 v1
Abstract
We show explicitly how to realize an arbitrary linear unitary Bogoliubov transformation (LUBO) on a multi-mode quantum state through homodyne-based one-way quantum computation. Any LUBO can be approximated by means of a fixed, finite-sized, sufficiently squeezed Gaussian cluster state that allows for the implementation of beam splitters (in form of three-mode connection gates) and general one-mode LUBOs. In particular, we demonstrate that a linear four-mode cluster state is a sufficient resource for an arbitrary one-mode LUBO. Arbitrary input quantum states including non-Gaussian states could be efficiently attached to the cluster through quantum teleportation.
Cite
@article{arxiv.0910.0660,
title = {Universal linear Bogoliubov transformations through one-way quantum computation},
author = {Ryuji Ukai and Jun-ichi Yoshikawa and Noriaki Iwata and Peter van Loock and Akira Furusawa},
journal= {arXiv preprint arXiv:0910.0660},
year = {2010}
}
Comments
10 pages, 6 figures