IonQ Publishes End-to-End Fault-Tolerant Resource Estimate for Shor's Algorithm on 256-Bit Elliptic Curves - Quantum Computing Report

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IonQ Publishes End-to-End Fault-Tolerant Resource Estimate for Shor’s Algorithm on 256-Bit Elliptic Curves

Trapped-ion quantum platform developer IonQ (NYSE: IONQ) has published an architectural resource estimation study providing a fully compiled, end-to-end blueprint for executing Shor’s algorithm to solve the 256-bit elliptic curve discrete logarithm problem (ECDLP) on the secp256k1 curve. Utilizing an optimized variant of its fault-tolerant “Walking Cat” architecture based on quantum low-density parity-check (qLDPC) codes, the study demonstrates that a physical device comprising 19,397 physical qubits can solve the discrete logarithm for secp256k1—the cryptographic curve underpinning Bitcoin and wider blockchain infrastructure—in 25.7 days per attempt with a 63.3% heuristic single-run success probability.