Breaking a 6-Bit Elliptic Curve Key using IBM’s 133-Qubit Quantum Computer

This experiment breaks a 6-bit elliptic curve cryptographic key using a Shor-style quantum attack. Executed on @IBM's 133-qubit ibm_torino with @Qiskit Runtime 2.0, a 18-qubit circuit, comprised of 12 logical qubits and 6 ancilla, interferes over ℤ₆₄ to extract the secret scalar k from the public key relation Q = kP, without ever encoding k directly into the oracle. From 16,384 shots, the quantum interference reveals a diagonal ridge in the 64 x 64 QFT outcome space. The quantum circuit, over 340,000 layers deep, produced valid interference patterns despite extreme circuit depth, and classical post-processing revealed k = 42 in the top 100 invertible (a, b) results, tied for the fifth most statistically relevant observed bitstring. 

https://x.com/stevetipp/article/1962935033414746420

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