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Quantum Binary Field Multiplication with Optimized Toffoli Depth and Extension to Quantum Inversion †

The Shor’s algorithm can find solutions to the discrete logarithm problem on binary elliptic curves in polynomial time. A major challenge in implementing Shor’s algorithm is the overhead of representing and performing arithmetic on binary elliptic curves using quantum circuits. Multiplication of bin...

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Detalles Bibliográficos
Autores principales: Jang, Kyungbae, Kim, Wonwoong, Lim, Sejin, Kang, Yeajun, Yang, Yujin, Seo, Hwajeong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10055756/
https://www.ncbi.nlm.nih.gov/pubmed/36991867
http://dx.doi.org/10.3390/s23063156