Geodesic
Some Algebraic and Geometric Aspects of Quantum Measurements
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 109-123

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We study positive operator-valued measures by algebraic and geometric methods. We prove that positive operator-valued measures are parametrized by a Poisson manifold. Also, we show how to obtain symplectic leaves of this Poisson manifold in terms of parameters of the measures. In addition, we study the interaction of two projection-valued measures by the methods of algebraic geometry. 
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     author = {A. S. Kocherova and I. Yu. Zhdanovskiy},
     title = {Some {Algebraic} and {Geometric} {Aspects} of {Quantum} {Measurements}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     url = {http://geodesic.mathdoc.fr/item/TM_2021_313_a9/}
}
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A. S. Kocherova; I. Yu. Zhdanovskiy. Some Algebraic and Geometric Aspects of Quantum Measurements. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 109-123. http://geodesic.mathdoc.fr/item/TM_2021_313_a9/