  Bell nonlocality is the key quantum resource in some device-independent
quantum information processing. It is of great importance to study the
efficient sharing of this resource. Unsharp measurements are widely used in
sharing the nonlocality of an entangled state shared among several sequential
observers. Recently, the authors in [Phys. Rev. Lett.129, 230402(2022)] showed
that the Bell nonlocality of two-qubit pure states can be shared even when one
only uses projective measurements and local randomness. We demonstrate that
projective measurements are also sufficient for sharing the Bell nonlocality of
arbitrary high-dimensional pure bipartite states. Our results promote further
understanding of the nonlocality sharing of high-dimensional quantum states
under projective measurements.
