The holographic entropy arrangement

Understand

We develop a convenient framework for characterizing multipartite entanglement in composite systems, based on relations between entropies of various subsystems.

• This continues the program initiated in arXiv:1808.07871, of using holography to effectively recast the geometric problem into an algebraic one.
• We prove that, for an arbitrary number of parties, our procedure identifies a finite set of entropic information quantities that we conveniently represent geometrically in the form of an arrangement of hyperplanes.
• This leads us to define the holographic entropy arrangement, whose algebraic and combinatorial aspects we explore in detail.