QuantumAlgorithms.aiA citable library

Reference · 2003

Shor's discrete logarithm quantum algorithm for elliptic curves

Proos, J., & Zalka, C. (2003). Shor's discrete logarithm quantum algorithm for elliptic curves. Quantum Information and Computation, 3(4), 317–344.

arXivRecord link

Authors
John Proos; Christof Zalka
Venue
Quantum Information and Computation 3(4), 317–344

Shows how to implement Shor's discrete-logarithm algorithm for elliptic-curve groups over a prime field. Cited from Shor's algorithm and the cryptography stub for that extension. This library does not repeat the paper's qubit counts, which use a different accounting than later fault-tolerant estimates.

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Updated 7 Oct 2026.