Dynamical Maps and Symmetroids
DOI10.1142/S1230161221500190zbMath1500.81001arXiv2205.06734MaRDI QIDQ5094432
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo
Publication date: 3 August 2022
Published in: Open Systems & Information Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.06734
General and philosophical questions in quantum theory (81P05) General theory of von Neumann algebras (46L10) Applications of Lie groups to the sciences; explicit representations (22E70) Operator algebra methods applied to problems in quantum theory (81R15) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions
- Monotonicity of the quantum relative entropy under positive maps
- Geometry of quantum states: new construction of positive maps
- On A. Connes' noncommutative integration theory
- Completely positive linear maps on complex matrices
- On the generators of quantum dynamical semigroups
- Schwinger's picture of quantum mechanics: 2-groupoids and symmetries
- On the structure of the set of positive maps
- Quantum information theory and quantum statistics.
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- QUANTUM MECHANICS AS QUANTUM MEASURE THEORY
- Quantum Computation and Quantum Information
- A characterization of positive linear maps and criteria of entanglement for quantum states
- Unital Positive Maps and Quantum States
- Stochastic Dynamics of Quantum-Mechanical Systems
- Haar Measure for Measure Groupoids
- The Regular Representations of Measure Groupoids
- A gentle introduction to Schwinger’s formulation of quantum mechanics: The groupoid picture
- Tensor products of positive maps of matrix algebras
- A quantum route to the classical Lagrangian formalism
- Feynman’s propagator in Schwinger’s picture of Quantum Mechanics
- Completely positive dynamical semigroups of N-level systems
- An Introduction to Groups, Groupoids and Their Representations
- Schwinger’s picture of quantum mechanics I: Groupoids
- Relations Between Quantum Maps and Quantum States
This page was built for publication: Dynamical Maps and Symmetroids