Joint measurability of quantum effects and the matrix diamond

DOI10.1063/1.5049125OpenAlexW2811425173WikidataQ128851673 ScholiaQ128851673MaRDI QIDQ4561703

Andreas Bluhm, Ion Nechita

Publication date: 12 December 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01508

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Spectrum, resolvent (47A10) Quantum measurement theory, state operations, state preparations (81P15) Vector-valued measures and integration (46G10)

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Cites Work

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• Fundamentals of quantum information theory
• Quantum measurement
• On families of anticommuting matrices
• Minimal and maximal matrix convex sets
• The matricial relaxation of a linear matrix inequality
• On Tractable Approximations of Uncertain Linear Matrix Inequalities Affected by Interval Uncertainty
• Compatibility for probabilistic theories
• Extending quantum operations
• Chapter 8: Free Convex Algebraic Geometry
• An invitation to quantum incompatibility
• Quantum Computation and Quantum Information
• Approximate joint measurement of qubit observables through an Arthur–Kelly model
• Classical deterministic complexity of Edmonds' Problem and quantum entanglement
• ON MUTUALLY UNBIASED BASES
• Constructing exact symmetric informationally complete measurements from numerical solutions
• The Theory of Quantum Information
• Dilations, Inclusions of Matrix Convex Sets, and Completely Positive Maps
• An interpolation problem for completely positive maps on matrix algebras: solvability and parametrization
• Symmetric informationally complete positive-operator-valued measures: A new computer study
• Maximally incompatible quantum observables

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