Willy Fischler

We sketch the construction of a quantum model of three-dimensional de Sitter space, based on the covariant entropy principle and the observation that semiclassical physics suggests the possibility of a consistent theory of a finite number of unstable massive particles with purely gravitational interactions. Our model is holographic, finite, unitary, causal, plausibly exhibits fast scrambling, and qualitatively reproduces features of semiclassical de Sitter physics.

Abstract We develop finite-dimensional versions of the quantum error-correcting codes proposed by Albert, Covey, and Preskill (ACP) for continuous-variable quantum computation on configuration spaces with non-Abelian symmetry groups. Our codes can be realized by a charged particle in a Landau level on a spherical geometry, in contrast to the planar Landau level realization of the qudit codes of Gottesman, Kitaev, and Preskill (GKP), or more generally by spin coherent states.