Geodesic
Conditions for the representability of the density matrix
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 2, pp. 287-294 Cet article a éte moissonné depuis la source Math-Net.Ru

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The necessary and sufficient condition for the $N$-representability of reduced density matrices is found for functions of limited rank. 
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M. M. Mestechkin. Conditions for the representability of the density matrix. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 2, pp. 287-294. http://geodesic.mathdoc.fr/item/TMF_1969_1_2_a11/

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