On partial fidelities

DOI10.1016/S0034-4877(00)80007-5zbMath0962.47003arXivquant-ph/9912114MaRDI QIDQ1580733

Armin Uhlmann

Publication date: 18 June 2001

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9912114

zbMATH Keywords

representationfidelitydensity operatorsjoint concavitypositive Hermitian operators\(X\)-transform

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spectral sets of linear operators (47A25)

Related Items (11)

Model checking QCTL plus on quantum Markov chains ⋮ Transformations on the sets of states and density operators ⋮ Commutativity preserving maps on quantum states ⋮ Continuity and stability of partial entropic sums ⋮ An optimal quantum error-correcting procedure using quantifier elimination ⋮ Bounds on shannon distinguishability in terms of partitioned measures ⋮ Playing with fidelities ⋮ Relations for certain symmetric norms and anti-norms before and after partial trace ⋮ Partitioned trace distances ⋮ Simultaneous decompositions of two states ⋮ Fidelity preserving maps on density operators

Cites Work

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• A note on the transition probability over \(C^*\)-algebras
• Matrix versions of the Cauchy and Kantorovich inequalities
• A remark on transition probability
• Functional calculus for sesquilinear forms and the purification map
• On Bures distance and \(*\)-algebraic transition probability between inner derived positive linear forms over \(W^*\)-algebras
• Mathematical techniques for quantum communication theory

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