The generalized method of solving ECDLP using quantum annealing

This paper presents a generalization of a method allowing the transformation of the Elliptic Curve Discrete Logarithm Problem (ECDLP) over prime fields to the Quadratic Unconstrained Binary Optimization (QUBO) problem. The original method requires that a given elliptic curve model has complete arithmetic. The new one has no such restriction, which is a breakthrough. Since the mentioned obstacle is no longer a problem, the latest version of the algorithm may be used for any elliptic curve model. As a result, one may use quantum annealing to solve ECDLP on any given model of elliptic curves.

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Publication Details

Journal
International Journal of Electronics and Telecommunications
Published
2025-04-07
DOI
https://doi.org/10.24425/ijet.2025.153544
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
0.00
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article

The generalized method of solving ECDLP using quantum annealing

International Journal of Electronics and Telecommunications
Quantum Computing Algorithms and Architecture
article

The generalized method of solving ECDLP using quantum annealing

article en

Abstract

This paper presents a generalization of a method allowing the transformation of the Elliptic Curve Discrete Logarithm Problem (ECDLP) over prime fields to the Quadratic Unconstrained Binary Optimization (QUBO) problem. The original method requires that a given elliptic curve model has complete arithmetic. The new one has no such restriction, which is a breakthrough. Since the mentioned obstacle is no longer a problem, the latest version of the algorithm may be used for any elliptic curve model. As a result, one may use quantum annealing to solve ECDLP on any given model of elliptic curves.

International Journal of Electronics and Telecommunications
Military University of Technology in Warsaw (PL)
Affordable and clean energy
Openalex Percentile: Top 97%
Quantum Computing Algorithms and Architecture
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