Information topologies on non-commutative state spaces

zbMath1300.81020arXiv1003.5671MaRDI QIDQ5168608

Stephan Weis

Publication date: 18 July 2014

Full work available at URL: https://arxiv.org/abs/1003.5671

zbMATH Keywords

relative entropymutual informationmaximum entropyexponential familyprojection theoremPythagorean theoremconvex supportinformation topology

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items

An entropic invariant for 2D gapped quantum phases ⋮ Pre-images of extreme points of the numerical range, and applications ⋮ Maximum-entropy inference and inverse continuity of the numerical range ⋮ Toward non-Hermitian quantum statistical thermodynamics ⋮ The face lattice of the set of reduced density matrices and its coatoms ⋮ Continuity of the maximum-entropy inference ⋮ Quantum approximate Markov chains are thermal ⋮ Maximum entropy principle and Landau free energy inequality

This page was built for publication: Information topologies on non-commutative state spaces