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by jcranmer 3143 days ago
> Also, PFS uses 256-bit ECC, which only requires a 512-qubit quantum computer to break it.

Grover's algorithm is a quadratic, not exponential speedup. It may require 512 qubits, but it still requires 2^128 time.

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ECC is vulnerable to Shor's algorithm, which gives exponential speedup. A rough calculation implies that 256-bit ECC would take on the order of 25k quantum operations to break.