A de Sitter brane-world bounding regions of anti-de Sitter space has a macr
oscopic entropy given by one-quarter the area of the observer horizon. A pr
oposed variant of the AdS/CFT correspondence gives a dual description of th
is cosmology as conformal field theory coupled to gravity in de Sitter spac
e. In the case of two-dimensional de Sitter space this provides a microscop
ic derivation of the entropy, including the one-quarter, as quantum entangl
ement of the conformal field theory across the horizon.