Some remarks on covariant completely positive linear maps on C*-algebras

DOI10.1016/0034-4877(79)90040-5zbMath0437.46051OpenAlexW2046586422MaRDI QIDQ1141325

H. Scutaru

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0034-4877(79)90040-5

zbMATH Keywords

quantum dynamical systemsinvariant statescovariance algebracovariant completely positive linear mapsGelfand-Naimark-Segal constructionrepresentation of a locally compact groupStinespring type theorem

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Induced representations for locally compact groups (22D30) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (15)

A covariant Stinespring theorem ⋮ Adjusting phase-covariant qubit channel performance with non-unitality ⋮ Optimal cloning of pure states, testing single clones ⋮ Uncertainty relations for angular momentum ⋮ Covariant version of the Stinespring type theorem for Hilbert \(C^*\)-modules ⋮ Quantum channels irreducibly covariant with respect to the finite group generated by the Weyl operators ⋮ Remarks on the Structure of Clifford Quantum Cellular Automata ⋮ Structure of irreducibly covariant quantum channels for finite groups ⋮ Completely positive linear mappings, non-Hamiltonian evolution, and quantum stochastic processes ⋮ Thermodynamic implementations of quantum processes ⋮ On the structure of Clifford quantum cellular automata ⋮ Lower Bound for Mutual Information of a Quantum Channel ⋮ Dilations of symmetric operators shifted by a unitary group ⋮ A note on covariant dynamical semigroups ⋮ Phase-covariant mixtures of non-unital qubit maps

Cites Work

• Unnamed Item
• Unnamed Item
• General state changes in quantum theory
• Completely positive maps and entropy inequalities
• On the generators of quantum dynamical semigroups
• Covariance algebras in field theory and statistical mechanics
• Subalgebras of \(C^ *\)-algebras
• On the repeated measurement of continuous observables in quantum mechanics
• Tensor Products of Non-Unital C^* -Algebras
• Completely positive dynamical semigroups of N-level systems
• An Algebraic Approach to Quantum Field Theory
• Positive Functions on C ∗ -Algebras

This page was built for publication: Some remarks on covariant completely positive linear maps on C*-algebras