Pith Number

pith:CZ2M2P74

pith:2026:CZ2M2P7456SWZTEZDSPRPP7MX2

not attested not anchored not stored refs pending

Stabilizer-Code Channel Transforms Beyond Repetition Codes for Improved Hashing Bounds

Matthieu R. Bloch, Ruediger Urbanke, Shrinivas Kudekar, Tyler Kann

Any stabilizer code can improve hashing rates on asymmetric Pauli channels by acting as a channel transform.

arxiv:2601.15505 v3 · 2026-01-21 · cs.IT · math.IT · quant-ph

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\usepackage{pith}
\pithnumber{CZ2M2P7456SWZTEZDSPRPP7MX2}

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Record completeness

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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

Given any [[n, k]] stabilizer generator set, we construct a full symplectic tableau, compute the induced joint distribution of logical Pauli errors and syndromes under the physical Pauli channel, and obtain an achievable rate via a hashing bound with decoder side information.

C2weakest assumption

The induced logical channel after inner decoding can be treated as memoryless for re-applying the hashing bound, with the joint error-syndrome distribution accurately capturing all relevant statistics.

C3one line summary

Arbitrary small stabilizer codes used as channel transforms improve hashing bounds for Pauli channels beyond repetition codes via induced logical noise distributions.

Receipt and verification

First computed	2026-05-18T02:44:31.895846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1674cd3ffcefa56ccc991c9f17bfecbea1b78ccaf8f0e4b9ac1f29c63b2e7e5d

Aliases

arxiv: 2601.15505 · arxiv_version: 2601.15505v3 · doi: 10.48550/arxiv.2601.15505 · pith_short_12: CZ2M2P7456SW · pith_short_16: CZ2M2P7456SWZTEZ · pith_short_8: CZ2M2P74

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/CZ2M2P7456SWZTEZDSPRPP7MX2 \
  | 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: 1674cd3ffcefa56ccc991c9f17bfecbea1b78ccaf8f0e4b9ac1f29c63b2e7e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fc5f483f03c03ab0c4c269e9e63c6d98654f4e1bacbccdd3c9df13d41f39530",
    "cross_cats_sorted": [
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-01-21T22:24:46Z",
    "title_canon_sha256": "b51b8a069a2f91a8f6f5e1eddaf0e327f644b9c9e990920e4f84f33299a62f55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.15505",
    "kind": "arxiv",
    "version": 3
  }
}