Physics

A Givens-exchange ansatz for molecular variational eigensolvers

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Researchers developed a new quantum computing method called the Givens-exchange ansatz for calculating molecular ground-state energies, which are critical for drug discovery and understanding chemical reactions. The approach uses a fixed circuit design that eliminates the need for time-consuming architecture searches while achieving chemical accuracy across multiple molecular systems including lithium hydride, water, and beryllium hydride. The method demonstrated mean errors as low as 0.000124 milli-Hartree, outperforming existing quantum-architecture-search methods in accuracy.


This advancement could accelerate computational drug discovery by providing more accurate predictions of molecular behavior without the computational overhead of searching for optimal circuit designs. The reproducible, search-free approach offers a practical reference standard for quantum computing applications in chemistry and materials science.


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arXiv:2606.26912v2 Announce Type: replace
Abstract: Molecular ground-state energies help determine conformer rankings, reaction energetics, and electronic effects in computational drug discovery, but accurate calculations become difficult when strong correlation or large active spaces are important. Variational quantum eigensolvers estimate these energies by optimizing a parameterized quantum state, making ansatz design central to both accuracy and cost. We study a fixed-topology Givens-exchange ansatz that avoids architecture search. The circuit starts from the computational-basis state with the lowest diagonal Hamiltonian expectation and applies local RY rotations with two ordered all-pair Givens exchange blocks. Parameters are optimized using Hamiltonian expectation values, while exact diagonalization is used only after optimization to compute errors and fidelities. Across six fixed seeds, coefficient-verified LiH-6 and H2O-8 Hamiltonians, together with a BeH2-6 public-specification candidate, are chemically accurate in every run. The corresponding six-seed mean errors are 0.000000124 Hartree, equivalent to 0.000124 milli-Hartree; 0.000128558 Hartree, equivalent to 0.128558 milli-Hartree; and 0.000002152 Hartree, equivalent to 0.002152 milli-Hartree, respectively. On LiH-6 and H2O-8, these mean errors are lower than the published point errors of the compared quantum-architecture-search methods, while the ansatz uses a larger pre-compilation macro budget. The method is therefore an accurate, reproducible, and search-free reference template for molecular variational eigensolvers.

Source: A Givens-exchange ansatz for molecular variational eigensolvers