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Quantum Simulation
Structure of Fermionic Density Matrices: Complete N-representability Conditions
arXiv
Authors: David A. Mazziotti
Year
2011
Paper ID
31014
Status
Preprint
Abstract Read
~2 min
Abstract Words
84
Citations
N/A
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 (2-RDM) 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.
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- We present a constructive solution to the N-representability problem---a full characterization of the conditions for constraining the two-electron reduced density matrix...
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