What was already known
PPT bound entanglement showed that entanglement need not yield singlets, yet some PPT entangled states yield secret key. Whether every entangled state has positive distillable secret key was an open problem.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Gives a finite-dimensional quantum counterexample to the all-entangled-states secret-key question under the stated operational protocol model.
Limitations
The exact protocol model and Eve’s retained records matter. The linked Lean note checks the paper’s PPT-composition counterexamples, not the zero-key protocol theorem.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision