Bell's Inequality In High Dimensions And Its Maximal Violation

In this thesis, the maximally entangled states are characterized via the maximalviolation of Bell's inequality for the spin-s system. On the one hand, a special classof Bell operators is introduced and it is shown that in this case the states which maxi-mally violate the Bell's inequality are locally unitary equivalent to the GHZ states; onthe other hand, we present the proof of that in the general case, the states that maxi-mally violate the Bell's inequality for two spin-s particles must be Bell states or statesobtained from them by local unitary transformations. Thus we generalize the results ofqubit system to the case of spin-s system, and the method involved here is completelynew.