Playing with fidelities

DOI10.1016/S0034-4877(03)80005-8zbMath1045.46046arXivmath-ph/0202032MaRDI QIDQ1424098

Peter M. Alberti

Publication date: 8 March 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0202032

zbMATH Keywords

fidelity\(vN\)-algebrasinner operationspositive linear forms

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Axiomatic quantum field theory; operator algebras (81T05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Operator algebra methods applied to problems in quantum theory (81R15) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Differentiability questions for infinite-dimensional manifolds (58B10)

Related Items (5)

Bures distance for \(\alpha\)-completely positive maps and transition probability between \(p\)-functionals ⋮ ON THE EXISTENCE OF PHYSICAL TRANSFORMATIONS BETWEEN SETS OF QUANTUM STATES ⋮ The fidelity of density operators in an operator-algebraic framework ⋮ Fidelity of two positive trace-class operators ⋮ Operational distance and fidelity for quantum channels

Cites Work

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• Completely positive linear maps in a concept of majorization on certain operator algebras
• General state changes in quantum theory
• Spheres and hemispheres as quantum state spaces
• A problem relating to positive linear maps on matrix algebras
• A note on the transition probability over \(C^*\)-algebras
• Stochastic linear maps and transition probability
• On the simultaneous transformation of density operators by means of a completely positive, unity preserving linear map
• Convexity, unitary invariance and monotonicity under completely positive maps over injective vN-algebras
• A note on stochastic operators on \(L^ 1\)-spaces and convex functions
• Completely positive maps and entropy inequalities
• On the generators of quantum dynamical semigroups
• The transition probability in the state space of a \(^*\)-algebra
• Density operators as an arena for differential geometry
• Geometric phases and related structures
• On Bures distance and \(*\)-algebraic transition probability between inner derived positive linear forms over \(W^*\)-algebras
• On partial fidelities
• Bounds for the C*-algebraic transition probability yield best lower and upper bounds to the overlap
• Fidelity for Mixed Quantum States
• Note on Wigner's Theorem on Symmetry Operations
• An Extension of Kakutani's Theorem on Infinite Product Measures to the Tensor Product of Semifinite w ∗ -Algebras
• COMPLETE SETS OF EXPECTATIONS ON VON NEUMANN ALGEBRAS
• On Projection Maps of von Neumann Algebras.
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• Positive Functions on C ∗ -Algebras
• Monotone and Convex Operator Functions
• Theory of operator algebras I.

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