# Quantum security resource assumption audit

Family 272: Entanglement without distillable secret key. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Quantum protocol researchers can distinguish entanglement from secret-key distillability in the specified almost-surely completing local-instrument protocol model.

## Applicability and commercial boundary

The state and allowed protocols are specific; the counterexample does not show all entangled resources lack key value. A PPT-square counterexample is not a practical device security exploit.

## Initial business decision

Research infrastructure. Buyer budget, commercial novelty and profitability are unvalidated.

## Next verification action

Extract the finite state/channel matrices and their protocol assumptions for a reproducible diagnostic.

## Evidence scope

The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

## Main source

[Entanglement with zero distillable secret key in local dimension ten](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Entanglement-with-zero-distillable-secret-key-in-local-dimension-ten-September-27-2026/paper.pdf).