Bitcoin quantum-recovery proof speeds up, but can’t help Satoshi BTC

Bitcoin’s quantum-vulnerable “freeze” plan (BIP-361) has a new recovery angle: Project Eleven says it built a zero-knowledge proof that can let the true owner prove control of wallet keys even after quantum computers can forge elliptic-curve signatures. The core issue is Q-Day: once signatures become forgeable, the blockchain may be unable to distinguish the attacker from the legitimate holder. Project Eleven’s approach leverages the fact that modern wallet address key derivation relies on one-way hashing (not breakable in the same way by quantum attacks), so owners with the seed material can prove they know the derivation path above their address without revealing any key data. Benchmarks (prototype): proof generation takes about 243 ms on an M5 MacBook Air (4 cores) and verification about 40 ms, with ~2 GB RAM and no GPU; no trusted setup is required. The company also claims large speedups versus prior work. However, the scheme is unaudited and incomplete for live deployment. It does not currently recover coins on any live Bitcoin blockchain, and the team notes limitations around address types and how the proof is anchored. Crucially, Project Eleven concedes the method would not recover Satoshi Nakamoto’s ~1.1 million BTC, because early pre-BIP-32 wallets lacked the hierarchical derivation “tree” the proof depends on.
Neutral
This is a notable Bitcoin security research update, but it’s not a direct, tradable catalyst for BTC price yet. Project Eleven’s zero-knowledge proof could improve the credibility of BIP-361’s “freeze as a lock with recovery,” potentially reducing the market’s fear that quantum-vulnerable coins become permanently stranded. Still, the article stresses the prototype is unaudited, doesn’t work on live chains today, and would require contentious blockchain-rule changes. In the short term, traders may treat it as incremental progress rather than an actionable event—similar to past periods when quantum-safe or ZK-related proposals got new engineering benchmarks but lacked deployment readiness. That typically keeps immediate impact limited to sentiment around Bitcoin’s long-term technical roadmap. In the long run, if a vetted, on-chain-compatible recovery method emerges, it could shift the narrative from “freezing is irreversible” to “freezing is reversible with proof,” which can affect governance risk premia. But for now, because Satoshi’s ~1.1M BTC remains unrecoverable under the assumptions (no BIP-32 derivation tree), the headline still signals practical limits.