How Does Shor's Algorithm on a Quantum Computer Pose a Threat to This Assumption? ▴ Learn

How Does Shor’s Algorithm on a Quantum Computer Pose a Threat to This Assumption?

Shor's algorithm is a theoretical quantum algorithm that can efficiently solve the Discrete Logarithm Problem and, by extension, the Elliptic Curve Discrete Logarithm Problem (ECDLP). A sufficiently powerful, fault-tolerant quantum computer running Shor's algorithm could break 256-bit ECDSA keys in a matter of hours or minutes.

This represents an existential threat to all current public-key cryptography, including the security of most cryptocurrencies.

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