Problem detail · source-aware
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Whether perfectly complete quantum key agreement can be built from quantumly secure one-way functions in a black-box way. It cannot: for any protocol where Alice and Bob exchange only classical messages, make at most $q_A$ and $q_B$ quantum queries to a Boolean random oracle and agree on a key with certainty, an eavesdropper given the classical messages recovers the key with certainty in $O((q_A + q_B)^5)$ classical oracle queries, independent of the number of rounds and the transcript length.
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.
The acknowledgment states that GPT-5.6 Sol Ultra discovered the proof in a one-shot conversation and produced a preliminary draft, with the authors independently verifying every statement and proof, then simplifying and refining the argument.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
arXiv preprint, not yet peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.