Noise analysis of single-qumode Gaussian operations using continuous-variable cluster states
Abstract
We consider measurement-based quantum computation that uses scalable continuous-variable cluster states with a one-dimensional topology. The physical resource, known here as the dual-rail quantum wire, can be generated using temporally multiplexed offline squeezing and linear optics or by using a single optical parametric oscillator. We focus on an important class of quantum gates, specifically Gaussian unitaries that act on single modes, which gives universal quantum computation when supplemented with multi-mode operations and photon-counting measurements. The dual-rail wire supports two routes for applying single-qumode Gaussian unitaries: the first is to use traditional one-dimensional quantum-wire cluster-state measurement protocols. The second takes advantage of the dual-rail quantum wire in order to apply unitaries by measuring pairs of qumodes called macronodes. We analyze and compare these methods in terms of the suitability for implementing single-qumode Gaussian measurement-based quantum computation.
Cite
@article{arxiv.1311.3538,
title = {Noise analysis of single-qumode Gaussian operations using continuous-variable cluster states},
author = {Rafael N. Alexander and Seiji C. Armstrong and Ryuji Ukai and Nicolas C. Menicucci},
journal= {arXiv preprint arXiv:1311.3538},
year = {2014}
}
Comments
25 pages, 9 figures, more accessible to general audience