2018/08/31 by Veronika E. Hubeny · 43 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Computer science #Conjecture #Cosmology and Gravitation Theories #Discrete mathematics #Disjoint sets #Dual polyhedron #Entropy (arrow of time) #Locality #Mathematical analysis #Mathematics #Monotonic function #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Statistical physics #Subadditivity #Theoretical physics #Thread (computing) #Topology (electrical circuits) #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1007/jhep12(2018)068
published in Journal of High Energy Physics 2018(12) (Springer Nature) · 42 pages, 10 figures; v2: matches the published version (added figure, minor clarifying remarks, and references)
openalex publication_date 2018/12/01 · arxiv created 2018/12/13 · arxiv updated 2018/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A bstract We use the ‘bit thread’ formulation of holographic entanglement entropy to highlight the distinction between the universally-valid strong subadditivity and the more restrictive relation called monogamy of mutual information (MMI), known to hold for geometrical states (i.e. states of holographic theories with gravitational duals describing a classical bulk geometry). In particular, we provide a novel proof of MMI, using bit threads directly. To this end, we present an explicit geometrical construction of cooperative flows which we build out of disjoint thread bundles . We conjecture that our method applies in a wide class of configurations, including ones with non-trivial topology, causal structure, and time dependence. The explicit nature of the construction reveals that MMI is more deeply rooted in bulk locality than is the case for strong subadditivity.