The entanglement sharing among quantum particles was discussed in a system consisting of n d-dimensional quantum particles. The entanglement between each pair was attempted to get optimized. A three particles system was also considered and results showed that the particles shared a greater fraction of their entanglement capacity as the dimension d increased.
Dennison, Kenneth A. and Wootters, William K., "Entanglement sharing among quantum particles with more than two orthogonal states" (2002). Physics Faculty Publications. 95.