Pith Number

pith:ZDISICJY

pith:2026:ZDISICJYSMFG3NGWINJ4P2JFQA

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Measurement-Efficient Variational Quantum Linear Solver for Carleman-Linearized Nonlinear Dynamics

Pai Wang, Yunya Liu

Variational quantum linear solvers recover states proportional to classical solutions for Carleman-linearized nonlinear dynamics.

arxiv:2605.15366 v1 · 2026-05-14 · quant-ph · physics.comp-ph

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\usepackage{pith}
\pithnumber{ZDISICJYSMFG3NGWINJ4P2JFQA}

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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

topology-agnostic ansatz, optimized Hermitianization, and efficient cost formulation enable VQLS to recover quantum states proportional to classical solutions for Carleman-structured systems

C2weakest assumption

Carleman linearization accurately approximates the weakly nonlinear Duffing equation with errors that diminish as the truncation order increases (stated in the first part of the abstract as the foundation for the subsequent VQLS experiments).

C3one line summary

Hybrid VQLS pipeline with Carleman linearization recovers high-fidelity solutions to the weakly nonlinear Duffing equation on IBM and Xanadu hardware using symmetry-grouped measurements and optimized ansatzes.

References

77 extracted · 77 resolved · 5 Pith anchors

[1] Temam, Navier–Stokes equations: theory and numerical analysis, Vol 2024

[2] G. Nellis, S. Klein, Heat transfer, Cambridge university press, 2008 2008

[3] Sastry, Nonlinear systems: analysis, stability, and control, Vol 2013

[4] I. Kovacic, M. J. Brennan (Eds.), The Duffing Equation: Nonlinear Oscillators and their Behaviour, John Wiley & Sons, Chichester, UK, 2011 2011

[5] C. Á. Hubay, T. Kalmár-Nagy, Return time approximation in planar nonlinear systems, Journal of Sound and Vibration 508 (2021) 116200. 27 2021

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:54.679925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8d1240938930a6db4d64353c7e925803176b53aa2820b79d3df5d2e8b31fb9f

Aliases

arxiv: 2605.15366 · arxiv_version: 2605.15366v1 · doi: 10.48550/arxiv.2605.15366 · pith_short_12: ZDISICJYSMFG · pith_short_16: ZDISICJYSMFG3NGW · pith_short_8: ZDISICJY

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/ZDISICJYSMFG3NGWINJ4P2JFQA \
  | 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: c8d1240938930a6db4d64353c7e925803176b53aa2820b79d3df5d2e8b31fb9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c07519431b088124e9250222ef1b5660bfeb67fc6723ea132af77ddc4307c513",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T19:45:27Z",
    "title_canon_sha256": "93859928371f45b2014b16921f36e8ecf14d9b32191cef65448d257c4b98543f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15366",
    "kind": "arxiv",
    "version": 1
  }
}