Pith Number

pith:NQJQIBOA

pith:2025:NQJQIBOAX3HB23HVVP6BSBY5ZD

not attested not anchored not stored refs resolved

Hierarchical Fusion Method for Scalable Quantum Eigenstate Preparation

Dean Lee, Katharine L. C. Hunt, Matja\v{z} Kebri\v{c}, Matthew Patkowski, Onat Ayyildiz

A fusion of adiabatic preconditioning and the Rodeo Algorithm enables scalable eigenstate preparation in large quantum systems.

arxiv:2510.19039 v3 · 2025-10-21 · quant-ph

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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

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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

By incrementally building up large systems from exactly solvable subsystems and using adiabatic preconditioning to enhance intermediate state overlaps, we ensure that the RA retains its exponential convergence even in large-scale systems.

C2weakest assumption

The adiabatic ramp applied to intermediate subsystems produces sufficiently high overlap with the target eigenstate so that the subsequent Rodeo Algorithm step retains its exponential convergence property without requiring prohibitive resources.

C3one line summary

A new fusion of adiabatic preconditioning and the Rodeo Algorithm, built hierarchically from solvable subsystems, enables robust exponential convergence for eigenstate preparation in the spin-1/2 XX model at high precision.

References

30 extracted · 30 resolved · 3 Pith anchors

[1] K. Choi, D. Lee, J. Bonitati, Z. R. Qian, and J. Watkins, Phys. Rev. Lett.127, 040505 (2021) 2021

[2] E. Dagotto, Rev. Mod. Phys.66, 763 (1994) 1994

[3] A. W. Sandvik, inAIP Conference Proceedings, Vol. 1297 (American Institute of Physics, 2010) pp. 135–338 2010

[4] A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys.68, 13 (1996) 1996

[5] M. Troyer and U.-J. Wiese, Phys. Rev. Lett.94, 170201 (2005) 2005

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T01:06:06.407511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c130405c0bece1d6cf5abfc19071dc8d8f7fe28587b2024d2e7aecf5cd2cf62

Aliases

arxiv: 2510.19039 · arxiv_version: 2510.19039v3 · doi: 10.48550/arxiv.2510.19039 · pith_short_12: NQJQIBOAX3HB · pith_short_16: NQJQIBOAX3HB23HV · pith_short_8: NQJQIBOA

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/NQJQIBOAX3HB23HVVP6BSBY5ZD \
  | 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: 6c130405c0bece1d6cf5abfc19071dc8d8f7fe28587b2024d2e7aecf5cd2cf62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6da64dce86c188ab15f853f4ab48b9bdfd640a09b653df50070672b9b79c6033",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-10-21T19:43:07Z",
    "title_canon_sha256": "91fce61feb8e965d92e579b66fd72e650386a08b937f8a8e59af0e16fa1267f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.19039",
    "kind": "arxiv",
    "version": 3
  }
}