Pith Number

pith:CHFJUN3F

pith:2026:CHFJUN3FV6WMOOT5B4KSY7T5ID

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Quantum Simulation of Differential-Algebraic Equations with Applications to Unsteady Stokes Flow

Hsuan-Cheng Wu, Xiantao Li

A dilation framework embeds non-Hermitian DAE dynamics into projected Schrödinger evolution for quantum simulation.

arxiv:2605.00794 v2 · 2026-05-01 · quant-ph

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\pithnumber{CHFJUN3FV6WMOOT5B4KSY7T5ID}

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4 Citations 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

We introduce a dilation framework that embeds the generally non-Hermitian constrained evolution into a projected Schrödinger-type dynamics on an enlarged Hilbert space, i d/dt Ψ(t) = P H P Ψ(t), where H is Hermitian and P is the orthogonal projector onto the lifted constraint subspace. This identifies the DAE evolution with a quantum Zeno-type dynamics and enables the use of block encodings, QSVT-based projector construction, and Hamiltonian simulation.

C2weakest assumption

That the orthogonal projector P onto the lifted constraint subspace can be efficiently constructed via QSVT and that low-energy spectral cutoffs motivated by solution smoothness remain valid without introducing prohibitive approximation errors in the Stokes application.

C3one line summary

A new dilation embeds non-Hermitian DAE evolution into projected Hermitian quantum dynamics, enabling block encodings and QSVT for simulation of constrained systems like unsteady Stokes flow.

Receipt and verification

First computed	2026-05-20T01:05:15.065540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11ca9a3765afacc73a7d0f152c7e7d40df3a48c8184a897618a4fab647905c78

Aliases

arxiv: 2605.00794 · arxiv_version: 2605.00794v2 · doi: 10.48550/arxiv.2605.00794 · pith_short_12: CHFJUN3FV6WM · pith_short_16: CHFJUN3FV6WMOOT5 · pith_short_8: CHFJUN3F

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/CHFJUN3FV6WMOOT5B4KSY7T5ID \
  | 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: 11ca9a3765afacc73a7d0f152c7e7d40df3a48c8184a897618a4fab647905c78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2056940864991f166710b542860d3c431f319eae7b471692841dda190ce45e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-01T17:21:52Z",
    "title_canon_sha256": "6b3fc12f18113d125d98ae12dd30e43beebd6756bdbd154d6d0362803e3081eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00794",
    "kind": "arxiv",
    "version": 2
  }
}