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Quantum theory as inductive inference
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Quantum theory as inductive inference
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We present the elements of a new approach to the foundations of quantum theory and probability theory which is based on the algebraic approach to integration, information geometry, and maximum relative entropy methods. It enables us to deal with conceptual and mathematical problems of quantum theory without any appeal to frameworks of Hilbert spaces and measure spaces.
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Cited by 1 Pith paper
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Metric tensors and two-forms in information geometry from the GNS construction
The real and imaginary parts of the dual GNS Hermitian product, pulled back by a canonical lift, yield the Fisher–Rao, Fubini–Study, and SLD geometries plus a two-form whose closedness is governed by the covariant der...
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