dorsal/arxiv
View SchemaSubspace Selected Variational Quantum Configuration Interaction with a Partial Walsh Series
| Authors | Koray Aydoğan, Anna R. Spak, Kade Head-Marsden, Anthony W. Schlimgen |
|---|---|
| Categories | |
| ArXiv ID | 2601.07037vv1 |
| URL | https://arxiv.org/abs/2601.07037 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Estimating the ground-state energy of a quantum system is one of the most promising applications for quantum algorithms. Here we propose a variational quantum eigensolver (VQE) \emph{Ansatz} for finding ground state configuration interaction (CI) wavefunctions. We map CI for fermions to a quantum circuit using a subspace superposition, then apply diagonal Walsh operators to encode the wavefunction. The algorithm can be used to solve both full CI and selected CI wavefunctions, resuling in exact and near-exact solutions for electronic ground states. Both the subspace selection and wavefunction \emph{Ansatz} can be applied to any Hamiltonian that can be written in a qubit basis. The algorithm bypasses costly classical matrix diagonalizations, which is advantageous for large-scale applications. We demonstrate results for several molecules using quantum simulators and hardware.
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"date_created": "2026-02-17T05:53:08.891000Z",
"date_modified": "2026-02-17T05:53:08.891000Z",
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"abstract": "Estimating the ground-state energy of a quantum system is one of the most promising applications for quantum algorithms. Here we propose a variational quantum eigensolver (VQE) \\emph{Ansatz} for finding ground state configuration interaction (CI) wavefunctions. We map CI for fermions to a quantum circuit using a subspace superposition, then apply diagonal Walsh operators to encode the wavefunction. The algorithm can be used to solve both full CI and selected CI wavefunctions, resuling in exact and near-exact solutions for electronic ground states. Both the subspace selection and wavefunction \\emph{Ansatz} can be applied to any Hamiltonian that can be written in a qubit basis. The algorithm bypasses costly classical matrix diagonalizations, which is advantageous for large-scale applications. We demonstrate results for several molecules using quantum simulators and hardware.",
"arxiv_id": "2601.07037",
"authors": [
"Koray Aydo\u011fan",
"Anna R. Spak",
"Kade Head-Marsden",
"Anthony W. Schlimgen"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Subspace Selected Variational Quantum Configuration Interaction with a Partial Walsh Series",
"url": "https://arxiv.org/abs/2601.07037",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "21cbd3c7-001b-4e79-8b12-053aee0c2fb0",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
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