No surveyed design achieves all three key properties in post-quantum distributed authorization.

Moving to post-quantum digital signatures is hard when groups share signing power. In native threshold signingnative threshold signingA signing method where the algorithm itself manages how multiple parties combine their shares to create one signature., multiple parties cooperate to create one standard signature. However, the chosen math rules tie down almost everything: key creation, shared data, communication steps, and recovery. If you check group approval outside these rules, standard checkers will reject the output unless one trusted party holds the whole key to convert it. The authors studied this design boundary using three key goals: producing standard signatures, stopping any single party from signing alone, and easily swapping math tools. They found that no existing design meets all three goals at once. Changing to post-quantum tools requires deep system redesigns, not just swapping software interfaces.

Why it matters

Organizations using distributed security systems will face major hurdles when updating to quantum-safe cryptography. This research reveals that current designs force tough choices between compatibility, security, and flexibility, meaning migrations won't be as simple as swapping algorithms.

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