Coexistence and joint measurability in quantum mechanics

DOI10.1023/A:1025406103210zbMath1053.81005arXivquant-ph/0211064OpenAlexW1525324079MaRDI QIDQ1410189

Pekka J. Lahti

Publication date: 14 October 2003

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0211064

zbMATH Keywords

coexistent observablesjoint measurabilitycoexistencecommensurabilitysequential measurements

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

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Naimark dilations of qubit POVMs and joint measurements ⋮ Compatibility of observables on effect algebras ⋮ Unifying decoherence and the Heisenberg principle ⋮ Limitations on post-processing assisted quantum programming ⋮ Fuzzy observables: from weak Markov kernels to Markov kernels ⋮ A theory of computation based on unsharp quantum logic: finite state automata and pushdown automata ⋮ Subsystems and independence in relativistic microscopic physics ⋮ Uniqueness of the joint measurement and the structure of the set of compatible quantum measurements ⋮ Measurement uncertainty relations for discrete observables: relative entropy formulation ⋮ Joint measurability through Naimark's dilation theorem ⋮ Universal randomization of quantum observables ⋮ Quantum incompatibility in collective measurements ⋮ Strongly incompatible quantum devices ⋮ Commutative POVMs and fuzzy observables ⋮ Notes on joint measurability of quantum observables ⋮ Compatibility of covariant quantum channels with emphasis on Weyl symmetry ⋮ Measurement incompatibility and Schrödinger-Einstein-Podolsky-Rosen steering in a class of probabilistic theories ⋮ Compatibility properties of extreme quantum observables ⋮ Combinations of quantum observables and instruments

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