QEVE on xTC transcorrelated Hamiltonians in STO-6G basis achieves T-gate counts between standard qubitization in cc-pVTZ and cc-pVQZ while delivering accuracy better than cc-pVQZ for Li and Be but worse than cc-pVDZ for O, F, and Ne.
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In the non-Hermitian XY model the scaling of ground-state correlations and entanglement entropy remains identical to the Hermitian version because Z2 symmetry breaking produces the ferromagnetic phase while U(1) symmetry emergence plus real-energy degeneracy produces the Luttinger liquid phase with
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Accuracy and resource advantages of quantum eigenvalue estimation with non-Hermitian transcorrelated electronic Hamiltonians
QEVE on xTC transcorrelated Hamiltonians in STO-6G basis achieves T-gate counts between standard qubitization in cc-pVTZ and cc-pVQZ while delivering accuracy better than cc-pVQZ for Li and Be but worse than cc-pVDZ for O, F, and Ne.
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Survival of Hermitian Criticality in the Non-Hermitian Framework
In the non-Hermitian XY model the scaling of ground-state correlations and entanglement entropy remains identical to the Hermitian version because Z2 symmetry breaking produces the ferromagnetic phase while U(1) symmetry emergence plus real-energy degeneracy produces the Luttinger liquid phase with