  The uncertainty principle and entanglement are two fundamental, but yet not
well understood, features of quantum theory. The uncertainty relation reflects
the capability limit in acquiring the knowledge of different physical
properties of a particle simultaneously, while on the other side, the quantum
entanglement renders the entangled quanta lose their independence, including
measurements imposed on them. By virtue of the majorization, here we establish
a general correlation relation for quantum uncertainty and multipartite
entanglement. Within this scheme, the optimization problems for entropy and
majorization uncertainty relation are solved. We obtain a diminished
uncertainty relation in the presence of multipartite entanglement, where the
lower bound is connected with the entanglement class. This result is inspiring,
reveals the intrinsic quantitative connection between uncertainty relation and
entanglement, and may have a deep impact on quantum measurement in application.

Quantum Physics