For weakly- and moderately-correlated molecular Hamiltonians, 2-stabilizer Renyi entropy of ground states scales linearly with both Hartree-Fock overlap and recovered correlation energy, with the link holding under contextual subspace approximations until the Coulson-Fischer point.
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Correlation is magic in electronic structure Hamiltonians
For weakly- and moderately-correlated molecular Hamiltonians, 2-stabilizer Renyi entropy of ground states scales linearly with both Hartree-Fock overlap and recovered correlation energy, with the link holding under contextual subspace approximations until the Coulson-Fischer point.