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On the structure of quantum states

V. Zh. Sakbaev



Abstract: A representation of the set of quantum states by barycenters of nonnegative normalized finitely additive measures on the unit sphere of a Hilbert space is obtained. In terms of the properties of a measure on the unit sphere, a criterion is obtained for its barycenter to belong to the set of extreme points of the set of quantum states and to the set of normal states.


© Steklov Math. Inst. of RAS, 2024