Claude Mythos 5 Helped Design a Quantum Circuit for Bitcoin's secp256k1 Curve: What arXiv 2610.22367's '17-Fold Fewer Gates' Is Measured Against
What Harvard and Anthropic posted on 15 October 2026
Andi Gu, Alek Kemeny, Susanne Yelin and Mikhail Lukin posted arXiv 2610.22367, "Discovering state-of-the-art quantum circuits with large language models," on 15 October 2026. The paper uses Claude Mythos 5 to propose circuit designs and an independent evaluator to test and score them across eight tasks. Anthropic presented the work on 16 October. The result that drew attention is a reversible point adder over the prime field of secp256k1, the curve behind Bitcoin and Ethereum signatures. The authors' public repository lists it at 4,006,673 Toffoli gates and 935 logical qubits, and press coverage reported about 17-fold fewer Toffoli gates for 12% more qubits.
What the 17-fold figure is measured against
The comparator is the authors' own reconstruction of a 2026 point adder by Luo and colleagues, at 69,529,757 Toffoli gates and 838 qubits. The same repository cites a second published design, by Schrottenloher, at about 1.9 million Toffoli gates and 1,446 qubits. Against that design the new circuit uses more gates and about a third fewer qubits. The repository's implemented circuits were evaluated by a grader that runs 100,000 tests and passes a circuit with up to 20 failures, a budget the authors set so that deliberately approximate arithmetic is allowed; the Schrottenloher figures are cited there, not reproduced. This post sets each claim beside the paper and repository, explains what a cheaper adder means for elliptic-curve cryptography, and shows where the figure is commonly overstated.
Bitcoin’s Quantum Upgrade Now Has a Patron
A private fund enters a public protocol
Galaxy has committed up to $5 million to Bitcoin post-quantum research and development. Its July 21 initiative names developer grants, a research program and an advisory council. Grants are to be evaluated individually and paid against milestones, with priorities that include transaction proposals, post-quantum signatures, wallet and custodian migration tools, and formal security audits. The announcement gives a neglected maintenance problem money, deadlines and institutional attention. It does not give Galaxy authority to change Bitcoin’s consensus rules.
The protocol record is still plural
BIP 360 remains a draft soft-fork proposal. It would create Pay-to-Merkle-Root, removing the quantum-vulnerable key-path spend from a new output type, while its authors explicitly limit the design to long-exposure attacks. Faster attacks during transaction confirmation may require post-quantum signatures and a different set of tradeoffs. NIST’s ML-DSA standard supplies a standardized post-quantum signature primitive, yet standardization alone does not settle Bitcoin integration, transaction weight, wallet support or consent across the network. The initiative’s first return may be better public disagreement before any code becomes difficult to reverse. Quentir reads the grant program as a new institutional layer in decentralized infrastructure: useful capital, real agenda-setting power and no substitute for open technical review.