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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In an N-qubit network with one conserved excitation, a single transition amplitude determines positivity and complete positivity of subsystem propagators, links them to excitation flow and Fisher information, and reveals an unvisited band of states inside the positivity domain.
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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.
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Excitation Flow, Positivity, and Fisher Information for Open Subsystems of an $N$-Qubit Network
In an N-qubit network with one conserved excitation, a single transition amplitude determines positivity and complete positivity of subsystem propagators, links them to excitation flow and Fisher information, and reveals an unvisited band of states inside the positivity domain.