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Quantum Key Exchange Achieves Security Via Unsolvable Mihailova Subgroup Problem

Researchers at Shenzhen University have unveiled a quantum‑safe key‑exchange protocol that modifies the Anshel‑Anshel‑Goldfeld (AAG) scheme by drawing private keys from Mihailova subgroups of braid groups. The security hinges on the unsolvable membership problem for these subgroups, making the protocol resistant to all known classical and quantum attacks. Experimental results confirm correct key agreement and a marked security improvement over the original AAG design. The work positions abstract group‑theoretic problems as practical foundations for post‑quantum cryptography.