Pith Number

pith:ASXYLFYL

pith:2026:ASXYLFYLERNSMKDAEJCR6KVDTG

not attested not anchored not stored refs resolved

The $\gamma_c$-Peak: Covariant Recovery on Four Organic Qubit Platforms

Hikaru Wakaura, Taiki Tanimae

The fidelity gain from Petz recovery in covariant quantum error correction reaches its maximum exactly at the entanglement-breaking threshold on organic qubit platforms.

arxiv:2605.00026 v3 · 2026-04-22 · q-bio.NC · quant-ph

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Claims

C1strongest claim

The fidelity gain Delta F is maximised at the entanglement-breaking threshold gamma_c, with Delta F_max = +0.303 at d=64 and a linear log2 d scaling over d=2-64, algorithmically confirming the prediction that Petz recovery preserves coherence beyond this threshold.

C2weakest assumption

The open-source organic-qc-bench package and its noise models accurately capture the physical dissipation and coherence properties of the four real organic platforms (P1-P4) when operated without magnetic fields; the SVILC qubit on platform P3 is assumed confirmed.

C3one line summary

Simulations across four organic qubit platforms show Petz recovery yields maximum fidelity gain at the entanglement-breaking threshold gamma_c, with Delta F max of 0.303 at dimension 64 and log2 d scaling.

References

41 extracted · 41 resolved · 1 Pith anchors

[1] Ex- ternal current as a coupler between the spin-vortex-induced loop current qubits 2017

[2] 3-Layer Quantum Brain Hypothesis: Covariant Error Correction, Dynamical Decoupling and Petz Recovery in Biological Radical-Pair Systems 2026

[3] The radical-pair mechanism of magnetorecep- tion 2016

[4] Sufficient subalgebras and the relative entropy of states of a von neumann algebra 1986

[5] Harness- ing nonlinearity: Predicting chaotic systems and saving energy in wireless communica- tion 2004

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:40.057300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04af85970b245b26286022451f2aa3999c610f1b655f363ce8c07de61b846965

Aliases

arxiv: 2605.00026 · arxiv_version: 2605.00026v3 · doi: 10.48550/arxiv.2605.00026 · pith_short_12: ASXYLFYLERNS · pith_short_16: ASXYLFYLERNSMKDA · pith_short_8: ASXYLFYL

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ASXYLFYLERNSMKDAEJCR6KVDTG \
  | 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: 04af85970b245b26286022451f2aa3999c610f1b655f363ce8c07de61b846965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a47c5a10e866488b98e6b2532ecc759be9b58d5d687484eff48d11716816e1",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2026-04-22T09:12:12Z",
    "title_canon_sha256": "6f24e69eba6b607baa223b540f96d78da4305cc20d0569254612000f7ca07514"
  },
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  "source": {
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    "kind": "arxiv",
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  }
}