Geodesic
On Analogs of Spectral Decomposition of a Quantum State
Matematičeskie zametki, Tome 93 (2013) no. 3, pp. 323-332

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The set of quantum states in a Hilbert space is considered. The structure of the set of extreme points of the set of states is investigated and an arbitrary state is represented as the Pettis integral over a finitely additive measure on the set of vector states, which is a generalization of the spectral decomposition of a normal state.
Keywords: quantum state, finitely additive measure.
Mots-clés : spectral decomposition 
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     title = {On {Analogs} of {Spectral} {Decomposition} of a {Quantum} {State}},
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G. G. Amosov; V. Zh. Sakbaev. On Analogs of Spectral Decomposition of a Quantum State. Matematičeskie zametki, Tome 93 (2013) no. 3, pp. 323-332. http://geodesic.mathdoc.fr/item/MZM_2013_93_3_a0/