Quantum Circuit Designs of Point Doubling Operation for Binary Elliptic Curves

ePrint Report: Quantum Circuit Designs of Point Doubling Operation for Binary Elliptic Curves

Harashta Tatimma Larasati, Howon Kim

In the past years, research on Shor’s algorithm for solving elliptic curves for discrete logarithm problems (Shor’s ECDLP), the basis for cracking elliptic curve-based cryptosystems (ECC), has started to garner more significant interest. To achieve this, most works focus on quantum point addition subroutines to realize the double scalar multiplication circuit, an essential part of Shor’s ECDLP, whereas the point doubling subroutines …

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