Stochastic matrices and a property of the infinite sequences of linear functionals

DOI10.1016/j.laa.2010.05.006zbMath1200.15018OpenAlexW2068457493MaRDI QIDQ989063

Roberto Beneduci

Publication date: 27 August 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.05.006

zbMATH Keywords

quantum mechanicsquantum computationstochastic matricesprobability measuresBorel \(\sigma\)-algebra

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Quantum computation (81P68) Stochastic matrices (15B51)

Related Items (8)

Positive operator valued measures and Feller Markov kernels ⋮ Fuzzy observables: from weak Markov kernels to Markov kernels ⋮ On the relationships between the moments of a POVM and the generator of the von Neumann algebra it generates ⋮ Uniform continuity of POVMs ⋮ Joint measurability through Naimark's dilation theorem ⋮ Universal randomization of quantum observables ⋮ Commutative POV-measures: from the Choquet representation to the Markov kernel and back ⋮ NEUMARK'S OPERATORS AND SHARP RECONSTRUCTIONS

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• The Dynkin system generated by balls in $\mathbb {R}^d$ contains all Borel sets
• Sharp reconstruction of unsharp quantum observables
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• Quantum Probability Spaces
• A Note on Quantum Probability Spaces

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