Toward Protocol-Level Quantum Safety in Bitcoin A Formal, Adversarial, and Invariant-Driven Treatment

Plain language. Few jargon words; every one is defined inline.

Imagine Bitcoin’s security like a vending machine that only gives you candy if you have the right key. Right now, the key is a special pattern that a powerful quantum computer could easily copy—like a lock that a master thief can pick instantly. This paper says we can’t just make some transactions safer; the whole machine must be redesigned so no thief can ever steal candy, even with a quantum computer. The authors build a perfect model of the machine’s rules, like writing a super-detailed instruction manual that leaves no room for cheating. They prove that if someone tries to spend candy they don’t own, it must mean they broke the underlying lock—which is mathematically nearly impossible. They also show that even if the thief controls the internet (delaying messages or injecting fake orders), they still can’t break the new lock. However, there’s a catch: old keys that were already lost can’t be upgraded, so the machine must either freeze those candies forever or accept that they might be stolen. Using computer-checked proofs (like a robot that double-checks every possible move), they confirm their design works for 492 different situations. In short, they provide a blueprint for a quantum-proof Bitcoin that’s as reliable as a vending machine with an unbreakable lock.

AI-generated (deepseek-v4-flash) · created 2026-05-28