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• W2065773944 abstract "We present a constructive solution to the $N$-representability problem: a full characterization of the conditions for constraining the two-electron reduced density matrix to represent an $N$-electron density matrix. Previously known conditions, while rigorous, were incomplete. Here, we derive a hierarchy of constraints built upon (i) the bipolar theorem and (ii) tensor decompositions of model Hamiltonians. Existing conditions $D$, $Q$, $G$, $T1$, and $T2$, known classical conditions, and new conditions appear naturally. Subsets of the conditions are amenable to polynomial-time computations of strongly correlated systems." @default.
• W2065773944 created "2016-06-24" @default.
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• W2065773944 date "2012-06-27" @default.
• W2065773944 modified "2023-10-11" @default.
• W2065773944 title "Structure of Fermionic Density Matrices: Complete<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>N</mml:mi></mml:math>-Representability Conditions" @default.
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• W2065773944 doi "https://doi.org/10.1103/physrevlett.108.263002" @default.
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