Extremal marginal tracial states in coupled systems
Abstract
Let be the convex set consisting of all marginal tracial states on the tensor product B B of the algebra B of nxn matrices over the complex numbers. We find necessary and sufficient conditions for such a state to be extremal in . We also give a characterization of those extreme points in which are pure states. We conjecture that all extremal marginal tracial states are pure states.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.