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Open Quantum Systems Decoherence
The Quantum Kalman Decomposition: A Gramian Matrix Approach
arXiv
Authors: Guofeng Zhang, Jinghao Li, Zhiyuan Dong, Ian R. Petersen
Year
2023
Paper ID
53057
Status
Preprint
Abstract Read
~2 min
Abstract Words
84
Citations
N/A
Abstract
The Kalman canonical form for quantum linear systems was derived in \cite{ZGPG18}. The purpose of this paper is to present an alternative derivation by means of a Gramian matrix approach. Controllability and observability Gramian matrices are defined for linear quantum systems, which are used to characterize various subspaces. Based on these characterizations, real orthogonal and block symplectic coordinate transformation matrices are constructed to transform a given quantum linear system to the Kalman canonical form. An example is used to illustrate the main results.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2023 reference point for readers tracking recent quantum research.
- The Kalman canonical form for quantum linear systems was derived in citeZGPG18.
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