Bulk locality and cooperative flows

Understand

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.