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quant-ph2026
Efficient Record-and-Replay Arithmetic for Quantum Elliptic-Curve Point Addition
Jieyi Long, Theodore Pender, Zhao Huang +33
We study reversible secp256k1 point-addition circuits developed through ECDSA.Fail for Shor's elliptic-curve discrete-logarithm algorithm. Two complementary constructions improve r…
quant-ph2026
ECDSA.Fail: Open Autoresearch for Optimizing Elliptic-Curve Point Addition in Shor's Algorithm
Jieyi Long, Theodore Pender, Zhao Huang +33
We propose Open Autoresearch, a paradigm in which humans and AI agents publish evaluator-verified improvements to a public leaderboard. We instantiate it in ECDSA.Fail, optimizing…