A recent study involving more than 100 researchers has revealed that artificial intelligence agents helped reduce the quantum computational resources needed for a critical Bitcoin-related cryptographic operation by 86.1%. The findings, published on September 9, highlight new efficiencies in the computational costs tied to bitcoin’s underlying elliptic curve (secp256k1) security, although the research stops well short of demonstrating any real-world vulnerability of Bitcoin to quantum attacks.
Breakthrough in secp256k1 Optimization
The project focused exclusively on optimizing the quantum circuits used for secp256k1 point addition—a core mathematical step in Bitcoin’s digital signature process—rather than a full private-key recovery attack. This specific process is fundamental to transaction authorization and wallet security within the Bitcoin network.
Eigen Labs introduced the ECDSA.Fail challenge in May, allowing researchers to compete in designing more resource-efficient quantum circuits for this calculation. Each submission was evaluated by a composite resource score, calculated by multiplying the number of logical qubits by the average number of Toffoli gates required.
Over the following months, the best-performing design reduced the resource score dramatically, from 10.75 billion to 1.496 billion by late July. The leading submissions managed to bring logical qubit usage down to 813 in some cases, with gate counts dropping below one million. These achievements represented substantial progress in the efficiency of this specific computation.
Quantum computing firm IonQ calculates that a full-scale quantum attack against secp256k1 would still require approximately 1,457 logical qubits and 39 million Toffoli gates, which translates to roughly 19,400 physical trapped-ion qubits and about 25.7 days of operation using their current methodology.
The AI-driven optimizations mark significant progress, but the improvements target only secp256k1 point addition, not a full end-to-end Bitcoin key recovery process. Google researchers have independently published higher resource estimates for the entire operation, ranging from 1,200 to 1,450 logical qubits and between 70 million and 90 million Toffoli gates. The ECDSA.Fail results cannot be directly compared, as they only address one component of the greater challenge.
Exposure Risks for Existing Bitcoin
On-chain data provider Glassnode has reported that 6.04 million BTC, representing 30.2% of the current circulating supply, are now associated with public keys that are visible on the blockchain. Of this sum, 1.92 million BTC reside in outputs that are directly exposed, while another 4.12 million BTC face indirect risks because of address reuse and user behavior.
A further layer of risk arises after transactions are broadcast and public keys momentarily appear before the transaction receives sufficient network confirmations. If a sufficiently advanced quantum computer emerges, it could theoretically exploit this window by deriving private keys from exposed public keys before the transaction is finalized.
BIP 360, a new Bitcoin Improvement Proposal, suggests implementing Pay-to-Merkle-Root outputs to minimize these risks during Taproot key-path spending. However, BIP 360 does not mitigate the short-term exposure of pending transactions in the mempool nor automatically shift older or previously exposed coins to quantum-resistant addresses.
Coinbase analysts estimate that around 1.7 million BTC remain in legacy P2PK addresses, some of which are believed to belong to Satoshi Nakamoto or represent permanently lost coins. Deciding if and how to migrate these dormant coins to post-quantum solutions is an unresolved issue for Bitcoin developers.
Planning for a Post-Quantum Future
Other blockchain networks, such as Ethereum, are actively targeting broad quantum resistance upgrades by December 2029. Global regulators, including the G7, have also called for coordinated post-quantum migration strategies in the financial industry, highlighting the urgency for proactive security planning.
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Glassnode’s latest estimate reveals that 30.2% of circulating Bitcoin is already exposed on-chain, either through direct on-chain public keys or behaviors such as address reuse, increasing quantum-related risks until broader migration measures are adopted.
