Not evaluated
Entanglement without secret key and the PPT-square conjecture (family 272)
The gist
On October 6, 2026, OpenAI published a manuscript, dated September 27, 2026, on entanglement with zero distillable secret key in local dimension ten.
DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 12, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-272-entanglement-without-secret-key-ppt-square-r1
@misc{discoveria-oai-fam-272-entanglement-without-secret-key-ppt-square-r1,
author = {{DiscoverIA}},
title = {Entanglement without secret key and the PPT-square conjecture (family 272)},
howpublished = {DiscoverIA registry, entry oai-fam-272-entanglement-without-secret-key-ppt-square},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-272-entanglement-without-secret-key-ppt-square#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
If the manuscript held, it would concern entangled quantum states (correlated in a non-classical way) whose distillable secret key would be zero. A distillable secret key is a key that two parties can extract from many copies of a shared state, using local operations and public communication. The family is titled “Entanglement without secret key and the PPT-square conjecture”.
What remains unclear
No third party is recorded as a checker, and the Lean (a language in which a computer checks every step of a proof) is supplied by OpenAI itself, marked “unchecked”. The sources read do not say whether or how the manuscript relates to the PPT-square conjecture named in the family title.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 272.md
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Sources
- Main sourcegithub.com · CONTENTS.mdlink only, reading not recorded
- Repositorygithub.com · Entanglement-with-zero…link only, reading not recorded
- Lean proofgithub.com · 272.mdpage read word for word
- Lean proofgithub.com · DimensionTenChannel.leanlink only, reading not recorded
- Lean proofgithub.com · DimensionTenPair.leanlink only, reading not recorded
Method
OpenAI publishes in its openai/math repository the manuscript “Entanglement with zero distillable secret key in local dimension ten”, dated September 27, 2026, the only one of family 272. Lean supplied: lean/docs/272.md, lean/ComparatorChallenges/DimensionTenChannel.lean and lean/ComparatorChallenges/DimensionTenPair.lean (2 Comparator statements). The family is absent from the `sources` of formalization.yaml; history.md reports no revision. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 12, 2026 from github.com (page read, quotation checked word for word: “describes the scope of the Lean formalization”).
Limits
No named third party: the recorded checks come from the claimant or from a platform tool. The claimant supplies a Lean proof; as of this date, DiscoverIA has found no independent verification of this proof or of the result.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Mathematical physics)
- In openai/math
- family 272, section “Mathematical physics”, 1 manuscript dated Sep 27, 2026
- Lean proof
- supplied by the claimant, marked “unchecked” (not reviewed) in its repository
- Revisions
- none reported by the claimant
- Checked by
- claimant (Lean supplied, not checked by a third party)
- Sources
- 5 : 1 read word for word, 4 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with a Lean proof supplied by the claimant. No third-party check read; the source marks this proof as not reviewed (“unchecked”).
Source: github.comread word for word
An observation is added; none is ever erased.
In the same set
openai/math: 719 manuscripts in 372 families from an unreleased internal model · entry 266 of 372, by family number
- Not evaluated : The Laughlin gap and stability under scalar disorder (family 269)
- Not evaluated : Threshold and positive-energy bound states of the BFSS model (family 270)
- Not evaluated : Bloch's law and spontaneous ferromagnetic order (family 271)
- Not evaluated : Entanglement without secret key and the PPT-square conjecture (family 272)
- Not evaluated : The entropy photon-number inequality (family 273)
- Not evaluated : Moore's parity conjecture for QAC⁰ (family 274)
- Not evaluated : QMA-hardness of continuum Coulomb energy (family 275)
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