Pith Number

pith:O752KUYL

pith:2026:O752KUYLMWR3RQ4F2RH3IZKIHI

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Optimal FALQON for Quantum Approximate Optimization via Layer-wise Parameter Tuning

Michael Mancini, Shabnam Sodagari

Optimizing per-layer time steps and scaling factors in FALQON improves success probability and efficiency for combinatorial optimization on quantum devices.

arxiv:2605.08332 v2 · 2026-05-08 · quant-ph · cs.AI

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Results demonstrate statistically significant improvements in success probability, evaluation efficiency, and depth-normalized cost across the evaluated benchmarks. Furthermore, initializing QAOA with parameters from Optimal FALQON yields superior warm-start performance compared to fixed initialization.

C2weakest assumption

That classical optimization of the per-layer parameters δ_k and M_k can be performed efficiently and that the observed improvements on 12-vertex 3-regular graphs will generalize to larger or differently structured instances without prohibitive overhead.

C3one line summary

Optimal FALQON optimizes per-layer δ_k and M_k via classical methods, yielding statistically significant gains in success probability and efficiency over standard FALQON on 94 non-isomorphic 3-regular graphs with 12 vertices.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

A Model Predictive Control-Inspired Quantum Algorithm

Receipt and verification

First computed	2026-07-09T00:19:14.140853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77fba5530b65a3b8c385d44fb465483a0257022352faba35f6a6bf9ca08b28f5

Aliases

arxiv: 2605.08332 · arxiv_version: 2605.08332v2 · doi: 10.48550/arxiv.2605.08332 · pith_short_12: O752KUYLMWR3 · pith_short_16: O752KUYLMWR3RQ4F · pith_short_8: O752KUYL

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O752KUYLMWR3RQ4F2RH3IZKIHI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 77fba5530b65a3b8c385d44fb465483a0257022352faba35f6a6bf9ca08b28f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e5b9fd6631f236a70facd582247a45ed4993d25e2c32c24841280c736502141",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-08T17:55:49Z",
    "title_canon_sha256": "b38a26a9e68e29be91cb106e06f3b1bc22544727524f7bd7ee86b256feb88f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.08332",
    "kind": "arxiv",
    "version": 2
  }
}