Pith Number

pith:P7WUXQSJ

pith:2026:P7WUXQSJIG7SAWVDOPOSWTNXS2

not attested not anchored not stored refs pending

Extensive long-range magic in non-Abelian topological orders

Isaac H. Kim, Sagar Vijay, Yimu Bao, Yuzhen Zhang

Non-Abelian topological orders exhibit extensive long-range magic in low-energy states, which cannot be removed by constant-depth circuits and distinguishes them via a no-go theorem from stabilizer states.

arxiv:2605.15150 v1 · 2026-05-14 · quant-ph · cond-mat.str-el · cs.CC · hep-th

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\usepackage{pith}
\pithnumber{P7WUXQSJIG7SAWVDOPOSWTNXS2}

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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

We show that the low-energy states of non-Abelian topological orders possess extensive magic which is long-ranged, and cannot be eliminated by a constant-depth local unitary circuit.

C2weakest assumption

The states satisfy the entanglement bootstrap axioms for non-Abelian string-net models.

C3one line summary

Cited by

1 paper in Pith

Long-range nonstabilizerness of topologically encoded states from mutual information

Receipt and verification

First computed	2026-05-17T21:40:25.478662Z
Last reissued	2026-05-17T21:57:18.796589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

7fed4bc24941bf205aa373dd2b4db796bd9aa21be286834e23538a42c7b036f2

Aliases

arxiv: 2605.15150 · arxiv_version: 2605.15150v1 · pith_short_12: P7WUXQSJIG7S · pith_short_16: P7WUXQSJIG7SAWVD · pith_short_8: P7WUXQSJ

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/P7WUXQSJIG7SAWVDOPOSWTNXS2 \
  | 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: 7fed4bc24941bf205aa373dd2b4db796bd9aa21be286834e23538a42c7b036f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1481703abbb4fabf65cd79e8e29eeb49dabd7bae4513c6f9cc2ae784cf1d8a0",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "cs.CC",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T17:50:20Z",
    "title_canon_sha256": "2a53336aa763965ccc9cfeb4279c18baa5fa6ba3d4de803c783f57f8f54425ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15150",
    "kind": "arxiv",
    "version": 1
  }
}