Pith Number

pith:HYIOIAS7

pith:2026:HYIOIAS7Q6PASR6ZQMRUZKFQ2I

not attested not anchored not stored refs resolved

Spin chirality across quantum state copies detects hidden entanglement

Franco Nori, Karol Bartkiewicz, Patrycja Tulewicz

The moment difference between partial transpose and purity decomposes exactly as a chirality-chirality correlator of the scalar spin chirality operator.

arxiv:2605.14515 v1 · 2026-05-14 · quant-ph

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\pithnumber{HYIOIAS7Q6PASR6ZQMRUZKFQ2I}

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4 Citations open

5 Replications open

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Claims

C1strongest claim

the moment difference between the partial transpose and purity decomposes exactly as a chirality-chirality correlator, where the relevant operator is the scalar spin chirality

C2weakest assumption

That the controlled-SWAP circuits implement the required multi-copy measurements with fidelity high enough that the extracted chirality correlator remains faithful to the ideal decomposition, especially under the marginal-noise construction.

C3one line summary

The moment difference between partial transpose and purity equals a spin-chirality correlator, enabling a spectral classifier that detects bound entanglement with 99.9% recall at zero false positives.

References

44 extracted · 44 resolved · 0 Pith anchors

[1] Horodecki, R., Horodecki, P., Horodecki, M. & Horodecki, K. Quantum entanglement.Rev. Mod. Phys.81, 865–942 (2009) 2009

[2] Huang, H.-Y., Kueng, R. & Preskill, J. Predicting many properties of a quantum system from very few measurements.Nat. Phys.16, 1050–1057 (2020) 2020

[3] Elben, A.et al.Mixed-state entanglement from local randomized measurements.Phys. Rev. Lett.125, 200501 (2020) 2020

[4] Separability criterion for density matrices.Phys 1996

[5] Horodecki, M., Horodecki, P. & Horodecki, R. Separability of mixed states: necessary and sufficient conditions.Phys. Lett. A223, 1–8 (1996) 1996

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:06.140743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e10e4025f879e0947d983234ca8b0d22e444cfdad598d55638b7843f2002fb7

Aliases

arxiv: 2605.14515 · arxiv_version: 2605.14515v1 · doi: 10.48550/arxiv.2605.14515 · pith_short_12: HYIOIAS7Q6PA · pith_short_16: HYIOIAS7Q6PASR6Z · pith_short_8: HYIOIAS7

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/HYIOIAS7Q6PASR6ZQMRUZKFQ2I \
  | 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: 3e10e4025f879e0947d983234ca8b0d22e444cfdad598d55638b7843f2002fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2a6a48423d1c2cc50334a11477f292d1cd4c472dff5fd89aab50542e9d8294",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T07:59:40Z",
    "title_canon_sha256": "5611112c8e472f325795d06e0e154c4e0ef0f2962a387ce2c92a63e89a1c03dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14515",
    "kind": "arxiv",
    "version": 1
  }
}