The U.S. government just set a hard deadline for post-quantum cryptographic migration: 2031
Two executive orders signed in 2025 require all federal agencies to replace classical signature schemes with NIST-standardized post-quantum algorithms. The mandate covers every system that touches federal data. Bitcoin is not on the list. That is exactly the problem.
This post breaks down what the threat actually is at the cryptographic level, why the migration is harder than it looks, and what the developer community should be paying attention to right now.
How ECDSA Works and Why Quantum Computers Break It
Bitcoin transaction signing uses ECDSA on the secp256k1 curve. The security model is simple: deriving a private key k from a public key Q = k * G requires solving the elliptic curve discrete logarithm problem. On classical hardware, this is computationally infeasible at 256-bit key sizes.
