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arxiv: 2606.06015 · v1 · pith:2CQQS6IRnew · submitted 2026-06-04 · ⚛️ physics.chem-ph · quant-ph

Quantum computing for accurate large-scale electronic-structure calculations: DFT-embedded, post-processed quantum-selected configuration interaction

Tuan Minh Do , Yuichiro Yoshida , Tomoya Shiota , Wataru Mizukami This is my paper

Pith reviewed 2026-06-27 23:22 UTC · model grok-4.3

classification ⚛️ physics.chem-ph quant-ph
keywords quantum computingelectronic structureembedding methodsconfiguration interactiondensity functional theoryreaction barrierscarbon nanotubes
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0 comments X

The pith

A multilevel embedding framework uses quantum-selected configuration interaction to reach ~1 kcal/mol accuracy for large-system reactions on partial quantum hardware.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper presents a multilevel embedding approach for electronic structure calculations in which a quantum algorithm handles the strongly correlated active space while classical high-level wavefunction methods recover remaining correlation in the surrounding region. A sampling-based quantum-selected configuration interaction step connects the quantum and classical parts, and the entire system is embedded in a low-cost density functional theory description of the environment. The authors apply the method to bond dissociation, adsorption, and a Menshutkin SN2 reaction inside a carbon nanotube, reporting agreement within about 1 kcal/mol of classical references. These results are obtained using only a subset of qubits from a 144-qubit superconducting processor. The work shows how current quantum devices can contribute to quantitatively reliable calculations for systems too large for full quantum treatment.

Core claim

The paper establishes that a DFT-embedded, post-processed quantum-selected configuration interaction framework enables accurate large-scale electronic-structure calculations by letting a quantum computer treat the active space, classical methods recover outer correlation, and density functional theory describe the environment, with the approach demonstrated by ~1 kcal/mol agreement for the Menshutkin SN2 reaction inside a carbon nanotube on a subset of a 144-qubit device.

What carries the argument

The quantum-selected configuration interaction (qSCI) sampling algorithm, which selects configurations from the quantum device to bridge the active-space quantum treatment and classical post-processing inside the DFT embedding.

If this is right

  • The framework applies to organic, metal-organic, and metallic systems for computing bond dissociation energies, adsorption energies, and reaction barriers.
  • Calculations remain feasible when only a subset of qubits from a 144-qubit superconducting processor is available.
  • Chemical accuracy near 1 kcal/mol is reached for a confined SN2 reaction without quantum treatment of every electron.
  • Hybrid quantum-classical methods become viable for systems whose size exceeds direct quantum simulation capacity.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same embedding structure could be tested on other confined or heterogeneous reaction environments to check transferability.
  • If the qSCI bridge remains reliable, the approach may combine with alternative classical post-processing methods without altering the quantum step.
  • Hardware with modestly more qubits would allow larger active spaces while retaining the same DFT outer layer.

Load-bearing premise

The sampling-based quantum-selected configuration interaction algorithm accurately bridges the quantum treatment of the active space and the classical post-processing of the surrounding region within the DFT-embedded framework.

What would settle it

A full classical reference calculation of the Menshutkin SN2 reaction barrier inside the carbon nanotube that differs from the hybrid result by more than 1 kcal/mol.

Figures

Figures reproduced from arXiv: 2606.06015 by Tomoya Shiota, Tuan Minh Do, Wataru Mizukami, Yuichiro Yoshida.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: a shows the reactant, transition state, and product of FIG. 4. Results for the Menshutkin SN2 reaction in gas phase (GP) and inside a carbon nanotube (CNT). (a) Illustration of the reactant, transition state, and product geometries of the Menshutkin SN2 reaction inside a CNT. (b) Energy profiles along the reaction path relative to the reactant energy computed with the 6-31G* basis set. QSCI calculations us… view at source ↗
Figure 5
Figure 5. Figure 5: a shows the HKUST-1 cluster model used in our sim￾ulations with a water molecule adsorbed on a Cu site. This finite fragment is structurally equivalent to the metal-organic polyhedron synthesized by Eddaoudi et al. [86]. We as￾sessed four definitions for the active WF subsystem. Region 1 comprises the electrons and orbitals localized on the water molecule and the Cu site. Region 2 extends the subsystem by … view at source ↗
Figure 6
Figure 6. Figure 6: a illustrates CO hopping on the 79-atom IrPdPtRhRu HEA nanoparticle simulated in this work, and Fig. 6b shows the positions of the CO molecule along the reaction coordi￾nate. We consider a truncated octahedron in a face-centered￾cubic (fcc) arrangement for the nanoparticle. The chosen shape and size are realistic, as HEA nanoparticles with an av￾erage diameter of approximately 1.32 nm have been synthe￾size… view at source ↗
read the original abstract

We present a multilevel embedding framework for quantum chemistry calculations on a quantum computer. In our framework, a quantum algorithm treats the strongly correlated active space, while a high-level wave-function method such as coupled cluster theory or multireference perturbation theory recovers the remaining correlation in the surrounding region. A sampling-based quantum algorithm, quantum-selected configuration interaction, bridges the quantum and classical treatments. The entire calculation is embedded in a low-cost density functional theory description of the surrounding environment using Manby's projection technique. We apply the framework to organic, metal-organic, and metallic systems, computing bond dissociation energies, adsorption energies, and reaction barriers using only the subset of qubits of a 144-qubit superconducting quantum computer at the University of Osaka and achieving $\sim$1 kcal/mol agreement with classical references for a Menshutkin $\mathrm{S_N2}$ reaction inside a carbon nanotube. Our results may open the way to quantitatively reliable quantum-classical hybrid calculations for large-scale chemical systems.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The paper presents a multilevel embedding framework for quantum chemistry on quantum computers: a quantum algorithm (quantum-selected configuration interaction, QS-CI) treats the strongly correlated active space on a subset of qubits from a 144-qubit superconducting device, classical high-level wavefunction methods (CC or MRPT) recover remaining correlation in the surrounding region, and the whole system is embedded in a DFT description via Manby's projection technique. The framework is applied to bond dissociation, adsorption, and reaction barriers in organic, metal-organic, and metallic systems, with the central numerical result being ~1 kcal/mol agreement with classical references for a Menshutkin SN2 barrier inside a carbon nanotube.

Significance. If the accuracy and bridging claims hold after validation, the work would constitute a meaningful step toward hybrid quantum-classical calculations on chemically relevant scales by partitioning correlation treatment across quantum hardware, classical post-processing, and DFT embedding. The demonstration on real superconducting hardware with only a qubit subset is a concrete strength, as is the parameter-free character of the embedding once the active space is chosen.

major comments (2)
  1. [Abstract] Abstract and results presentation: the central claim of ∼1 kcal/mol agreement for the Menshutkin SN2 reaction supplies neither error bars on the embedded energies, convergence data with respect to QS-CI sampling shots or active-space size, nor multiple independent classical benchmarks, so the numerical reliability cannot be assessed from the reported information.
  2. [Methods / Results (bridging algorithm)] QS-CI bridging step: because the method relies on stochastic sampling of configurations from quantum measurements to supply the active-space correlation that is then augmented by classical CC/MRPT inside the DFT embedding, the absence of direct numerical comparisons of QS-CI energies to exact full-CI or DMRG benchmarks on the same active spaces used for the nanotube reaction leaves open the possibility that sampling bias propagates into the final barrier height.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We are grateful to the referee for their thorough review and valuable suggestions. We have carefully considered each comment and provide point-by-point responses below. Revisions have been made to improve the clarity and completeness of the numerical results presentation.

read point-by-point responses

  1. Referee: [Abstract] Abstract and results presentation: the central claim of ∼1 kcal/mol agreement for the Menshutkin SN2 reaction supplies neither error bars on the embedded energies, convergence data with respect to QS-CI sampling shots or active-space size, nor multiple independent classical benchmarks, so the numerical reliability cannot be assessed from the reported information.

    Authors: We agree that additional details on the numerical reliability would strengthen the presentation. In the revised manuscript, we will include error estimates derived from the QS-CI sampling procedure in the abstract and main text. Convergence with respect to the number of shots and active-space size will be documented in the supplementary information. The main text already employs multiple classical methods (including CCSD(T) and MRPT) as benchmarks for the embedded energies; we will make this explicit in a dedicated paragraph. revision: yes

  2. Referee: [Methods / Results (bridging algorithm)] QS-CI bridging step: because the method relies on stochastic sampling of configurations from quantum measurements to supply the active-space correlation that is then augmented by classical CC/MRPT inside the DFT embedding, the absence of direct numerical comparisons of QS-CI energies to exact full-CI or DMRG benchmarks on the same active spaces used for the nanotube reaction leaves open the possibility that sampling bias propagates into the final barrier height.

    Authors: We acknowledge the referee's concern regarding potential sampling bias. Direct full-CI or DMRG calculations on the active spaces employed for the nanotube system are not feasible with classical methods due to their size. However, the QS-CI algorithm has been extensively benchmarked against exact methods on smaller active spaces in our earlier work. To address this point, we will add a discussion in the revised manuscript explaining the validation strategy and why the hybrid approach mitigates bias through classical post-processing. We believe this provides sufficient assurance for the reported accuracy. revision: partial

Circularity Check

0 steps flagged

No circularity; external benchmarking against classical references

full rationale

The derivation chain relies on a multilevel embedding framework where QS-CI bridges active-space quantum treatment to classical post-processing within DFT embedding. The central claims (e.g., ~1 kcal/mol agreement for the Menshutkin SN2 barrier) are validated by direct numerical comparison to independent classical references (CC, MRPT, etc.) rather than being defined in terms of fitted outputs or self-citations. No self-definitional equations, fitted-input predictions, or load-bearing self-citation chains appear in the abstract or description; the method is presented as a hybrid whose accuracy is externally falsifiable.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The framework rests on the domain assumption that the chosen embedding cleanly separates strong correlation from the environment and that the quantum sampling method faithfully represents the active-space wavefunction; no free parameters or invented entities are mentioned in the abstract.

axioms (2)
  • domain assumption Manby's projection technique provides an accurate low-cost DFT embedding of the active region.
    Invoked to surround the quantum-classical calculation with a DFT environment.
  • domain assumption The quantum-selected configuration interaction sampling converges to the correct active-space correlation energy.
    Required for the bridging step between quantum and classical treatments.

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Reference graph

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