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arxiv: 1609.05982 · v1 · pith:O74C3RVSnew · submitted 2016-09-20 · 🪐 quant-ph

The Kalman Decomposition for Linear Quantum Stochastic Systems

classification 🪐 quant-ph
keywords decompositionderivedkalmanlinearquantumstochasticsystemsauthors
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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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