Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The holographic entropy arrangement   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. Using the framework, we derive
three new information quantities for four parties, as well as a new infinite
family for any number of parties. A natural construct from the arrangement is
the holographic entropy polyhedron which captures holographic entropy
inequalities describing the physically allowed region of entropy space. We
illustrate how to obtain the polyhedron by winnowing down the arrangement
through a sieve to pick out candidate sign-definite information quantities.
Comparing the polyhedron with the holographic entropy cone, we find perfect
agreement for 4 parties and corroborating evidence for the conjectured 5-party
entropy cone. We work with explicit configurations in arbitrary
(time-dependent) states leading to both simple derivations and an intuitive
picture of the entanglement pattern.

24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex