  In the context of de Sitter static-patch holography, two prescriptions have
been put forward for holographic entanglement entropy computations, the
monolayer and bilayer proposals. In this paper, we reformulate both
prescriptions in a covariant way and extend them to include quantum
corrections. We argue that the bilayer proposal is self-consistent, while the
monolayer proposal exhibits contradictory behavior. In fact, the bilayer
proposal leads to a stronger holographic description, in which the full
spacetime is encoded on two screens at the cosmological horizons. At the
classical level, we find large degeneracies of minimal extremal homologous
surfaces, localized at the horizons, which can be lifted by quantum
corrections. The entanglement wedges of subregions of the screens exhibit
non-trivial behaviors, hinting at the existence of interesting phase
transitions and non-locality in the holographic theory. In particular, while
each screen encodes its corresponding static patch, we show that the
entanglement wedge of the screen with the larger quantum area extends and
covers the causal diamond between the screens, with a phase transition
occurring when the quantum areas of the screens become equal. We argue that the
capacity of the screens to encode the region between them is lost, when these
are pushed further in the static patches of the observers and placed on
stretched horizons.

High Energy Physics - Theory;General Relativity and Quantum Cosmology