PhysicsarXiv

Ranked by formulaVerdict: Notable

Discovering state-of-the-art quantum circuits with large language models

Significant efforts are currently being directed toward the implementation of large-scale quantum information processors, but realizing useful quantum advantage also requires the development of efficient quantum…

By Gu, Kemeny, Yelin +1

Score█████░░░░░4.6

Caveats

  • Preprint; not yet peer reviewed.

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Abstract

Significant efforts are currently being directed toward the implementation of large-scale quantum information processors, but realizing useful quantum advantage also requires the development of efficient quantum algorithms. While for many practical problems the dominant resource costs are associated with a small set of computational primitives, optimizing them in the quantum setting presents unique challenges, including a reversibility constraint absent from ordinary classical computation. Here we introduce an evolutionary framework in which large language models (LLMs) propose circuit designs and an independent evaluator verifies and scores them. We apply this framework to tasks spanning numerical computation, chemistry, optimization, quantum simulation, and number theory. In seven of the eight tasks, the discovered circuits significantly reduce both Toffoli and qubit counts relative to the state of the art. In the eighth, the search discovers a new reversible architecture for prime-field modular inversion. By handling reversibility differently, the architecture makes divsteps -- a classical algorithm previously impractical for reversible integer arithmetic -- viable and substantially improves the Toffoli-qubit trade-off for modular inversion. These results open the door for evaluator-guided LLM co-design of new algorithmic structures for quantum computation.

Andi Gu, Alek H. Kemeny, Susanne F. Yelin, Mikhail D. Lukin

The editor's rubric

Heuristic review

DimensionLevelWeightWhat that level means
Leverage███░░ 318%A method or resource many groups across the field will adopt within a year.
Magnitude███░░ 320%Large gain: roughly 2x, or a clear new state of the art on a hard, unsaturated problem.
Evidence███░░ 322%Solid: multiple benchmarks or cohorts, ablations, fair baselines, released code or data.
Novelty███░░ 322%A genuinely new approach to an open problem.
Trajectory███░░ 310%A clear path to scale.
Stakes██░░░ 28%Benefits a professional community (practitioners, clinicians, engineers).

Editor’s rationale

Heuristic triage from title and abstract text only, not a reading of the paper. Cues found: method (we propose, new method); breadth (many tasks); gains (state of the art); novelty (discovery); verification (multiple benchmarks, independent replication); scale (scalable, efficient).

How the score was computed

rank-2026-10-07

Score█████░░░░░4.6

Score = 10 × (75% × adjusted merit / 10 + 15% × attention + 10% × freshness)

Merit
5.8 / 10
Weighted rubric, evidence-gated.
Adjusted merit
4.9 / 10
Shrunk toward the desk prior by editor confidence (48%).
Attention
0%
Citations, upvotes, points, mentions.
Freshness
95%
Half-life decay since publication.

No attention signals recorded yet.

The record

  • Reviewed by heuristic-v6 on Oct 16, 2026, 07:29 UTC. Paper type: method.
  • Categories: quant-ph, cs.AI
  • TOP, No.3 in the Front page edition of October 16, 2026.
  • TOP, No.1 in the Physics edition of October 16, 2026.