TY - JOUR
T1 - Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel
AU - Ma, Shan
AU - Petersen, Ian R.
AU - Woolley, Matthew J.
N1 - Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - 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.
AB - 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.
KW - Covariance assignment
KW - Diagonal Hamiltonian
KW - Linear quantum system
KW - Passive Hamiltonian
KW - Pure Gaussian state
KW - Single dissipative channel
UR - http://www.scopus.com/inward/record.url?scp=85008172935&partnerID=8YFLogxK
U2 - 10.1016/j.sysconle.2016.11.013
DO - 10.1016/j.sysconle.2016.11.013
M3 - Article
SN - 0167-6911
VL - 99
SP - 64
EP - 71
JO - Systems and Control Letters
JF - Systems and Control Letters
ER -