Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel
Quantum Physics
2017-04-06 v2 Dynamical Systems
Optimization and Control
Abstract
Given any covariance matrix corresponding to a so-called pure Gaussian state, a linear quantum system can be designed to achieve the assigned covariance matrix. In most cases, however, one might obtain a system that is difficult to realize in practice. In this paper, we restrict our attention to a special class of linear quantum systems, i.e., systems with diagonal passive Hamiltonian and a single dissipative channel. The practical implementation of such a system would be relatively simple. We then parametrize the class of pure Gaussian state covariance matrices that can be achieved by this particular type of linear quantum system.
Keywords
Cite
@article{arxiv.1511.04929,
title = {Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel},
author = {Shan Ma and Ian R. Petersen and Matthew J. Woolley},
journal= {arXiv preprint arXiv:1511.04929},
year = {2017}
}