Pith Number

pith:BL4W6TYN

pith:2026:BL4W6TYNAWODVAD5STOBH2Q2GS

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Clifford-deformed zero-rate LDPC codes with 50% biased noise thresholds

Arpit Dua, Arthur Pesah, Jagannath Das, Pedro Medina, Sayandip Dhara

Clifford-deformed zero-rate LDPC codes achieve 50% thresholds under pure dephasing when biased logical operators scale slower than distance.

arxiv:2605.15348 v1 · 2026-05-14 · quant-ph

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Record completeness

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Claims

C1strongest claim

There exist Clifford-deformed variants of zero-rate quantum LDPC codes where the number of biased logical operators scales slower than the distance or a basis of logical operators satisfies certain overlap scaling conditions, in which case the code-capacity threshold under i.i.d. pure dephasing noise approaches 50%.

C2weakest assumption

The assumption that a Clifford deformation exists which preserves Pauli stabilizers while enforcing the required scaling or overlap conditions on the logical operators of the zero-rate LDPC code, as this property is what the abstract states is sufficient for the 50% threshold.

C3one line summary

Clifford-deformed zero-rate LDPC codes achieve code-capacity thresholds approaching 50% under i.i.d. pure dephasing when the number of biased logical operators scales slower than distance or overlaps satisfy stated conditions, with new examples from tile codes.

References

77 extracted · 77 resolved · 1 Pith anchors

[1] Breuckmann, Francisco Revson Fernandes Pereira, and Jens Niklas Eberhardt 2025 · doi:10.1103/l4mx-l3xx

[2] Flammia, and Michael J 2024 · doi:10.1103/prxquantum.5.010347

[3] Fault-tolerant computing with biased- noise superconducting qubits: a case study 2009 · doi:10.1088/1367-2630/11/1/013061

[4] D. Nigg, M. Muller, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, and R. Blatt. Quantum computations on a topologically encoded qubit. Science, 345(6194):302–305, Jun 2014. 2014 · doi:10.1126/science.1253742

[5] M. D. Shulman, O. E. Dial, S. P. Harvey, H. Bluhm, V. Umansky, and A. Yacoby. Demonstration of entan- glement of electrostatically coupled singlet-triplet qubits. Science, 336(6078):202–205, Apr 2012. 2012 · doi:10.1126/science.1217692

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:53.754240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af96f4f0d059c3a807d94dc13ea1a34a6a50634b6a5f49c2a6a25c490e47735

Aliases

arxiv: 2605.15348 · arxiv_version: 2605.15348v1 · doi: 10.48550/arxiv.2605.15348 · pith_short_12: BL4W6TYNAWOD · pith_short_16: BL4W6TYNAWODVAD5 · pith_short_8: BL4W6TYN

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BL4W6TYNAWODVAD5STOBH2Q2GS \
  | 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: 0af96f4f0d059c3a807d94dc13ea1a34a6a50634b6a5f49c2a6a25c490e47735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acfe5e16542338c560a1909093393f89a4c72deaef208a0ecd5cb9824d230335",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T19:18:25Z",
    "title_canon_sha256": "37593ea4f5c119d2954ea07e26fcdb5d824c82032bd27641fcff3afb6d6fd040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15348",
    "kind": "arxiv",
    "version": 1
  }
}