Joint measurability through Naimark's dilation theorem

DOI10.1016/S0034-4877(17)30035-6zbMath1384.81009arXiv1404.1477MaRDI QIDQ1744673

Roberto Beneduci

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1477

zbMATH Keywords

joint measurabilityquantum measurementpositive operator valued measuresNaimark's dilation theorem

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50) Set functions, measures and integrals with values in ordered spaces (28B15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (10)

Naimark dilations of qubit POVMs and joint measurements ⋮ Positive operator valued measures and Feller Markov kernels ⋮ Quantifying incompatibility of quantum measurements through non-commutativity ⋮ Fuzzy observables: from weak Markov kernels to Markov kernels ⋮ The notion of observable and the moment problem for \(*\)-algebras and their GNS representations ⋮ POVMs and the two theorems of Naimark and Sz.-Nagy ⋮ Quantum incompatibility of channels with general outcome operator algebras ⋮ Universal randomization of quantum observables ⋮ Quantum formalism on the plane: POVM-Toeplitz quantization, Naimark theorem and linear polarization of the light ⋮ On optimal cloning and incompatibility

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