In this paper, we establish the unconditional uniqueness of solutions to the
cubic Gross-Pitaevskii hierarchy on Rd in a low regularity Sobolev
type space. More precisely, we reduce the regularity s down to the currently
known regularity requirement for unconditional uniqueness of solutions to the
cubic nonlinear Schr\"odinger equation (s≥6d if d=1,2 and
s>sc=2d−2 if d≥3). In such a way, we extend the recent work of
Chen-Hainzl-Pavlovi\'c-Seiringer.Comment: 26 pages, 1 figur