A graphical framework for proving holographic entanglement entropy inequalities in multipartite systems
Abstract
We present a graphical method for proving holographic entanglement entropy inequalities (HEIs) in general multipartite systems. By introducing a geometric representation of the entanglement structure, we develop a systematic approach that enables one to visualize and verify the validity of HEIs for any number of subsystems n. Several theorems are established to formalize this method, and explicit examples are provided for systems with n = 4 to 7 entangled regions.
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