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REVIEW 4 major objections 1 minor 1 cited by

HOPSO: A Robust Classical Optimizer for VQE

T0 review · 4 major / 1 minor · reviewed 2026-08-05 · deepseek-v4-flash

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Pith's one-line read This paper claims that HOPSO, a periodicity-aware particle-swarm optimizer, makes VQE ground-state energies more accurate and more noise-tolerant than COBYLA, DE, and standard PSO—but the supplied full text is an unrelated plasma experiment

desk verdict The full text is a different paper entirely, so the submission is unreviewable; the abstract's VQE optimizer idea is plausible but unsupported. read the letter →

arxiv 2508.13651 v1 pith:VRLKIEBL submitted 2025-08-19 quant-ph

Ijaz Ahamed Mohammad , Yury Chernyak , Martin Plesch This is my paper · ORCID
classification quant-ph
keywords variationalquantumeigensolverparticleswarmoptimizationharmonicoscillatorperiodicparameterspacenoiseresilienceH2/LiHbenchmarksclassicaloptimizernear-termcomputing
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The abstract tries to establish that a modified particle-swarm optimizer, HOPSO, tuned to respect the periodicity of quantum circuit parameters and to tolerate measurement noise, improves Variational Quantum Eigensolver (VQE) optimization on small molecules. If true, this would make near-term quantum chemistry more reliable without changing the quantum hardware. However, the full text supplied with this identifier is not the HOPSO paper: it is a laser-plasma experiment on femtosecond shock generation by different authors. As a result, the algorithm, the H2 and LiH benchmarks, and the noise comparison promised in the abstract are not present or verifiable in this submission.

What carries the argument

The central object is HOPSO, a swarm optimizer whose particle dynamics are adapted so candidate angles move on the periodic manifold of quantum gate parameters, identifying $\theta$ with $\theta + 2\pi$, with an added damping or filtering intended to make the update resilient to measurement noise. In the abstract this object is what carries the claimed advantage; in the supplied full text it never appears.

What would settle it

Obtain the full HOPSO study and rerun VQE on H2 (4 qubits) and LiH (8 qubits) with HOPSO, COBYLA, DE, and PSO under equal numbers of circuit evaluations and identical hardware-faithful noise; if HOPSO's final energy or convergence does not match or beat the baselines across repeated seeds, the abstract's claim fails. For this submission, the immediate falsifier is simpler: the supplied body must describe HOPSO at all, and it does not.

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Extended reading notes

Core claim

On the abstract's own terms, the central claim is that HOPSO—Harmonic Oscillator-based Particle Swarm Optimization, modified to respect the periodicity of quantum parameters and to enhance noise resilience—produces competitive VQE ground-state energies for hydrogen (H2, modeled as a 4-qubit Hamiltonian) and lithium hydride (LiH, 8-qubit), and that it is more robust than COBYLA, Differential Evolution, and standard PSO in all tested situations and superior under realistic noise. The supplied full text does not contain this study: it is an experimental physics letter on laser-driven shocks in solid targets. No implementation, Hamiltonian construction, noise model, or benchmark table for HOPSO

Load-bearing premise

The load-bearing premise is that the body of this submission contains the HOPSO implementation, the H2/LiH benchmarks, and the noisy comparison that the abstract reports; it does not—the body is an unrelated laser-plasma experiment—so the central claim currently rests entirely on an abstract facing a different paper.

Editorial extensions

If this is right

  • If HOPSO performs as the abstract claims, classical parameter optimization becomes a viable place to absorb VQE noise, potentially improving near-term quantum chemistry without new quantum hardware.
  • A periodicity-respecting swarm update should avoid redundant searches across equivalent angle values, lowering the number of quantum circuit evaluations needed to converge.
  • The H2 and LiH benchmarks would give direct baselines for COBYLA, DE, and PSO on 4- and 8-qubit molecular Hamiltonians under noise.
  • The result would shift attention in VQE from purely quantum-side error mitigation toward the design of noise-aware classical optimizers.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Before the HOPSO claim can be evaluated, the actual HOPSO manuscript must be located; the supplied body is a different laser-plasma paper, so this submission contains no algorithm, dataset, or benchmark to check.
  • The periodicity-aware update idea, taken on its own, is not limited to VQE: any variational algorithm with angle parameters, including QAOA, faces the same $\theta \equiv \theta + 2\pi$ redundancy, making HOPSO-type updates a natural transfer target.
  • A fair test of 'outperforms under realistic noise' needs a fixed shot budget and a specified noise channel; the abstract provides neither, so the claim is underdetermined even if the full paper appears.
  • Reporting distributions over many random seeds rather than single best energies would be the minimal way to make the claimed noise robustness checkable.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 1 minor

Summary. The submission claims to present HOPSO, a modified Harmonic Oscillator-based Particle Swarm Optimizer for VQE, with benchmarks on H2 and LiH (4- and 8-qubit Hamiltonians) and comparisons against COBYLA, Differential Evolution, and standard PSO under realistic noise. The full text provided, however, is arXiv:2508.13649v1 (physics.plasm-ph), a laser-plasma experiment by Sagar Dam et al. titled "Impulsive excitation of a solid by extreme contrast, high intensity femtosecond laser pulses." This body text contains no VQE content, no HOPSO description, no quantum circuits, no Hamiltonian mappings, no noise model, and no results for H2 or LiH. The abstract and the body of the submission are therefore entirely mismatched, and the central claims of the abstract have no supporting evidence in the manuscript as submitted.

Significance. If the claimed results were actually presented, a periodicity-aware, noise-robust classical optimizer for VQE would be of genuine interest to the near-term quantum computing community, particularly as an alternative to standard COBYLA/PSO/DE baselines. However, the submitted text contains no derivation, implementation, or empirical evaluation of HOPSO. Consequently, the significance of the work cannot be assessed from the submission; the manuscript in its current form provides no basis for the abstract's claims.

major comments (4)
  1. [Full text (entire body)] The submitted full text is arXiv:2508.13649v1 by Dam et al., a physics.plasm-ph paper on laser-plasma interactions, with a different title, different authors, and no mention of HOPSO, VQE, H2, LiH, COBYLA, DE, PSO, or noise models. The central claim of the abstract is therefore entirely unsupported by the body of the manuscript.
  2. [Abstract] The abstract states that HOPSO "achieves competitive ground-state energy approximations and demonstrates improved robustness compared to COBYLA, Differential Evolution (DE), and standard Particle Swarm Optimization (PSO) methods in all situations and outperforms other methods under realistic noise conditions." No benchmark results, error bars, shot counts, or statistical comparisons are provided anywhere in the submission, so these claims are unverifiable assertions.
  3. [Full text (method description)] There is no method section describing the "modified version of Harmonic Oscillator-based Particle Swarm Optimization (HOPSO)", the purported adaptation to periodic parameter spaces, or the noise-resilience enhancements. Without this information the method cannot be reproduced, and the comparison against baselines cannot be evaluated.
  4. [Full text (references and scope)] The reference list and acknowledgments pertain exclusively to the laser-plasma experiment; there are no references to VQE, quantum chemistry, variational quantum algorithms, or quantum optimization. This confirms that the body text is not the manuscript described by the abstract.
minor comments (1)
  1. [Full text (figures)] The laser-plasma text contains corrupted symbols and OCR-like artifacts (e.g., '6�5 � m' in the Fig. 1 caption, '� 5%' and similar), which impair readability. This is secondary to the substantive mismatch but indicates the text was not prepared in its final form.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity detected; the submitted body is an unrelated laser-plasma paper, so the HOPSO claims have no derivation chain to reduce.

full rationale

The abstract claims that a modified Harmonic Oscillator-based Particle Swarm Optimization (HOPSO) achieves competitive VQE ground-state energies with improved robustness versus COBYLA, DE, and PSO. The supplied full text, however, is arXiv:2508.13649v1 by Dam et al. (physics.plasm-ph), an experimental study of impulsive laser excitation of solids with no VQE, HOPSO, quantum circuits, Hamiltonians, noise models, or benchmark tables. There is therefore no chain of equations, fitted parameters, or self-citations that could reduce a prediction to its inputs by construction; the abstract's assertions are unsupported in this text, which is a missing-evidence / provenance problem, not a circularity problem. Should the actual paper contain the described benchmarks, the comparison against external classical optimizers would be a non-circular design. No circular step can be quoted, so the circularity score is 0.

Assumptions & free parameters 0 free parameters · 3 assumptions · 0 invented entities

The body text is an unrelated manuscript, so this audit is drawn from the abstract alone. No named free parameters or invented entities appear; hidden in the missing methods section would be HOPSO hyperparameters (swarm size, oscillator coefficients), the noise model, and the periodicity mapping, none of which can be audited here.

assumptions (3)
  • domain assumption Quantum circuit parameters are periodic (rotations repeat every 2π), so a periodic-aware optimizer is needed.
    Abstract: 'optimization difficulties in periodic parameter spaces' and 'adapting its dynamics to respect the periodicity of quantum parameters.' This motivates the entire modification; if false, the method has no principled basis.
  • domain assumption Measurement stochastic noise can be treated as noise on the classical objective that swarm dynamics can tolerate.
    Abstract: 'challenges connected with measurement stochastic noise' and 'enhance noise resilience.' The resilience mechanism is not described in the provided text.
  • domain assumption The 4-qubit and 8-qubit Hamiltonian mappings for H2 and LiH used in the benchmarks are correct and representative.
    Abstract: 'modeled as 4- and 8-qubit Hamiltonians.' No mapping or verification is shown in the provided text.

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Cite this review

Pith. "Pith review of HOPSO: A Robust Classical Optimizer for VQE." pith.science (2026). https://pith.science/paper/VRLKIEBL

@misc{pith2026250813651,
  author       = {Pith},
  title        = {Pith review of: HOPSO: A Robust Classical Optimizer for VQE},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/VRLKIEBL}},
  note         = {Machine review of arXiv:2508.13651}
}
read the original abstract

Variational Quantum Eigensolver (VQE) algorithm is one of few approaches where the hope for near-term quantum advantage concentrates. However, they face challenges connected with measurement stochastic noise, barren plateaus, and optimization difficulties in periodic parameter spaces. While most of the efforts concentrates on optimizing the quantum part of the procedure, here we aim to enhance the classical optimization by utilizing a modified version of Harmonic Oscillator-based Particle Swarm Optimization (HOPSO). By adapting its dynamics to respect the periodicity of quantum parameters and enhance noise resilience, we show its strengths on hydrogen (H2) and lithium hydride (LiH) molecules modeled as 4- and 8-qubit Hamiltonians. HOPSO achieves competitive ground-state energy approximations and demonstrates improved robustness compared to COBYLA, Differential Evolution (DE), and standard Particle Swarm Optimization (PSO) methods in all situations and outperforms other methods under realistic noise conditions. These results suggest that a properly tailored classical part of VQE algorithms can tackle with current problems and gives hope for its scalability for larger systems.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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