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arXiv · 1609.05982

The Kalman Decomposition for Linear Quantum Stochastic Systems

Symeon Grivopoulos·Guofeng Zhang·Ian R. Petersen·John Gough
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Abstract

The Kalman decomposition for Linear Quantum Stochastic Systems in the real quadrature operator representation, that was derived indirectly in [1] by the authors, is derived here directly, using the "one-sided symplectic" SVD-like factorization of [2] on the observability matrix of the system.

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Symeon Grivopoulos, Guofeng Zhang, Ian R. Petersen, John Gough. 2016-09-20. The Kalman Decomposition for Linear Quantum Stochastic Systems. https://arxiv.org/abs/1609.05982

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