Derives exact analytical expressions for correlation patterns in cyclic fermionic systems using symmetry principles, revealing interference-induced selection rules for mutual information at specific distances in mean-field states.

Derives exact analytical expressions for correlation patterns in cyclic fermionic systems using symmetry principles, revealing interference-induced selection rules for mutual information at specific distances in mean-field states.
Sharp Lipschitz continuity bounds derived for von Neumann entropy and Entanglement of Formation using log-Sobolev inequalities on complete graphs, establishing optimal constants for both finite and infinite-dimensional quantum systems.