Pith Number

pith:D7GNQ5NH

pith:2026:D7GNQ5NH2XRHQU53AQBI7WH66X

not attested not anchored not stored refs pending

Design and Analysis of Quantum Dual-Containing CSS LDPC Codes based on Quasi-Dyadic Matrices

Alessio Baldelli, Franco Chiaraluce, Marco Baldi, Massimo Battaglioni, Paolo Santini

Quasi-dyadic matrices produce quantum DC CSS LDPC codes with improved finite-length error rates.

arxiv:2605.03631 v3 · 2026-05-05 · cs.IT · math.IT · quant-ph

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\usepackage{pith}
\pithnumber{D7GNQ5NH2XRHQU53AQBI7WH66X}

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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

The quantum CSS LDPC codes obtained through these constructions achieve better finite-length error rate performance than existing DC codes across different block lengths and code rates.

C2weakest assumption

The quasi-dyadic matrix constructions produce valid dual-containing CSS codes whose cycle properties, minimum distances, and simulated error rates hold under the noise models used in the numerical experiments.

C3one line summary

Two new constructions of quantum dual-containing CSS LDPC codes from quasi-dyadic matrices achieve improved finite-length error performance over existing DC codes.

Receipt and verification

First computed	2026-07-23T01:24:29.145763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fccd875a7d5e27853bb04028fd8fef5d72cbd1a957e49d7e4b71d2f1d41feb7

Aliases

arxiv: 2605.03631 · arxiv_version: 2605.03631v3 · doi: 10.48550/arxiv.2605.03631 · pith_short_12: D7GNQ5NH2XRH · pith_short_16: D7GNQ5NH2XRHQU53 · pith_short_8: D7GNQ5NH

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/D7GNQ5NH2XRHQU53AQBI7WH66X \
  | 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: 1fccd875a7d5e27853bb04028fd8fef5d72cbd1a957e49d7e4b71d2f1d41feb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34de695985eb0b0d251c9705560bef2293619e0400977a1bf639f9314b541abe",
    "cross_cats_sorted": [
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-05T11:00:37Z",
    "title_canon_sha256": "950a77f48fcac8ad95e699e684b2c1f06b62f07cd1187c426efa5cf177373125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03631",
    "kind": "arxiv",
    "version": 3
  }
}