Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 67, Issue 4, Pages 2131-2137Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2021.3079291
Keywords
Covariance assignment; covariance matrix; linear quantum system; system synthesis
Funding
- National Natural Science Foundation of China [61803389, 61973317]
- 111 Project [B17048]
- Air Force Office of Scientific Research [FA2386-18-1-4026, FA2386-16-1-4065]
- ARC Centre of Excellence for Engineered Quantum Systems [CE170100009]
- Australian Research Councils Discovery Projects Funding Scheme [DP180101805]
- U.S. Office of Naval Research Global [N62909-19-1-2129]
Ask authors/readers for more resources
The purpose of this article is to synthesize a linear quantum system that is strictly stable and has a steady thermal state. The article presents a parameterization of a class of stable linear quantum systems and discusses the asymptotic evolution of the systems in two scenarios.
The purpose of this article is to synthesize a linear quantum system, which is strictly stable and has a steady thermal state. Specifically, we give a parameterization of a class of sta- ble linear quantum systems that have V = tau I/2, tau > 1, as their steady covariance matrsices. This is physically important since the covariance matrix tau I/2, tau > 1, corresponds to a quantum thermal state. Hence, we can say that these systems will asymptotically evolve into a quantum thermal state. An extension to the case where V = S diag (Lambda, Lambda)S-T/2 with Lambda > I being a diagonal matrix and S being a symplectic matrix will also be considered. Physically, a covariance matrix of the form V = S diag (Lambda, Lambda)S-T/2, Lambda > I, corresponds to a mixed Gaussian quantum state. So, we can alternatively say that the corresponding linear quantum systems will asymptotically evolve into a mixed Gaussian quantum state.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available