Pith Number

pith:KRFMONNW

pith:2026:KRFMONNWS4WSZCQ7WH6KRSP57D

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Machine Learning Approaches to Building Quantum Circuits for Sets of Matrices

Andrei Morozov, Matvei Fedin

Machine learning parameters directly produce a universal shortest quantum circuit for diagonal matrices of any size.

arxiv:2605.06633 v2 · 2026-05-07 · quant-ph · hep-th

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\usepackage{pith}
\pithnumber{KRFMONNWS4WSZCQ7WH6KRSP57D}

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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

By studying the parameters of the machine learning algorithm we were able to construct universal shortest analytic quantum algorithm for arbitrary diagonal matrix of any size.

C2weakest assumption

That the parameters learned by the machine learning model directly translate into the shortest and truly universal analytic quantum circuit without additional unstated optimizations or assumptions about matrix structure.

C3one line summary

Interpretable machine learning yields a universal shortest analytic quantum algorithm for arbitrary diagonal matrices of any size.

Receipt and verification

First computed	2026-05-21T01:04:27.004673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

544ac735b6972d2c8a1fb1fca8c9fdf8d3d829403b5931f66bf0a4a159bfce94

Aliases

arxiv: 2605.06633 · arxiv_version: 2605.06633v2 · doi: 10.48550/arxiv.2605.06633 · pith_short_12: KRFMONNWS4WS · pith_short_16: KRFMONNWS4WSZCQ7 · pith_short_8: KRFMONNW

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/KRFMONNWS4WSZCQ7WH6KRSP57D \
  | 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: 544ac735b6972d2c8a1fb1fca8c9fdf8d3d829403b5931f66bf0a4a159bfce94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e9f46c055d107023deade3d6990c288453ab8c7d7243c387cfbd982fcea8356",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-07T17:44:45Z",
    "title_canon_sha256": "8af4ba1c9d2f63089d2e6460f90326f629eb3df78ca45816a6bcb2a4dfc6fb6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06633",
    "kind": "arxiv",
    "version": 2
  }
}