Pith Number

pith:LMFZ7Z5Z

pith:2026:LMFZ7Z5ZTS3JAASSJVCDS5PRLU

not attested not anchored not stored refs pending

Spectral Gap Informed Ramp QAOA

Kieran McDowall, Konstantinos Georgopoulos, Petros Wallden

Spectral gap informed ramps improve QAOA performance over linear schedules on Grover's problem and maximum independent set.

arxiv:2604.24580 v2 · 2026-04-27 · quant-ph

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\usepackage{pith}
\pithnumber{LMFZ7Z5ZTS3JAASSJVCDS5PRLU}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

SGIR-QAOA has performance improvements over LR-QAOA on Grover's problem at constant depth and requires shorter depths to achieve the same optimal solution probability; these benefits extend to MIS and persist under mild depolarising noise when using extrapolated spectral gaps.

C2weakest assumption

That spectral gap information from the chosen adiabatic Hamiltonian (with QAOA mixer as initial Hamiltonian) produces ramps that remain effective when extrapolated to scales where exact gaps cannot be computed, and that the observed improvements are not artifacts of the specific problem instances or noise model tested.

C3one line summary

SGIR-QAOA uses spectral gap information to create non-linear parameter schedules that outperform linear ramps on Grover's problem and MIS, achieving target probabilities at lower depths even under mild noise.

Receipt and verification

First computed	2026-06-03T01:05:50.666207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0b9fe7b99cb69002524d443975f15d37388b323a8d3269662ffebb77372ac9

Aliases

arxiv: 2604.24580 · arxiv_version: 2604.24580v2 · doi: 10.48550/arxiv.2604.24580 · pith_short_12: LMFZ7Z5ZTS3J · pith_short_16: LMFZ7Z5ZTS3JAASS · pith_short_8: LMFZ7Z5Z

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LMFZ7Z5ZTS3JAASSJVCDS5PRLU \
  | 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: 5b0b9fe7b99cb69002524d443975f15d37388b323a8d3269662ffebb77372ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318531c5e731d3b934fd518e11e5ecc8b91ad908e2710ae6e5090a82b7b7b065",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-27T15:06:59Z",
    "title_canon_sha256": "65c52c79b2b18f2129ef6f483216cd994aca468e8a8a2b5c01406e8bb2262241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.24580",
    "kind": "arxiv",
    "version": 2
  }
}