Transformations on the sets of states and density operators

DOI10.1016/j.laa.2006.01.019zbMath1113.47023OpenAlexW2029097282MaRDI QIDQ852628

Werner Timmermann, Lajos Molnár

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.01.019

zbMATH Keywords

statedensity operatorconcurrencepreservers\(\theta\)-fidelity

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum measurement theory, state operations, state preparations (81P15) General mathematical topics and methods in quantum theory (81Q99) States of selfadjoint operator algebras (46L30) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

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Cites Work

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• The transition probability in the state space of a \(^*\)-algebra
• Linear maps on the space of all bounded observables preserving maximal deviation.
• On partial fidelities
• The theory of symmetry actions in quantum mechanics. With an application to the Galilei group
• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• Generalization of Wigner's unitary-antiunitary theorem for indefinite inner product spaces
• Order-automorphisms of the set of bounded observables
• Sequentially independent effects
• Symmetry Groups in Quantum Mechanics and the Theorem of Wigner on the Symmetry Transformations
• Isometries of quantum states
• Fidelity for Mixed Quantum States
• Preserving the measure of compatibility between quantum states
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Fidelity preserving maps on density operators

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