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.

Main source

Entanglement with zero distillable secret key in local dimension ten.