  We study the partition function of 3D de Sitter gravity defined as the trace
over the Hilbert space obtained by quantizing the phase space of non-rotating
Schwarzschild-de Sitter spacetime. Motivated by the correspondence with double
scaled SYK, we identify the Hamiltonian with the gravitational Wilson-line that
measures the conical deficit angle. We express the Hamiltonian in terms of
canonical variables and find that it leads to the exact same chord rules and
energy spectrum as the double scaled SYK model. We use the obtained match to
compute the partition function and scalar two-point function in 3D de Sitter
gravity.
