The content discusses the creation of public key quantum money and quantum lightning schemes based on abelian group actions. It explores the challenges in constructing secure quantum protocols and provides insights into the limitations of knowledge assumptions and algebraic group actions in the quantum setting. The work offers a detailed analysis of cryptographic group actions and their implications for post-quantum cryptography.
The author outlines the theoretical framework for implementing quantum money and lightning schemes, emphasizing the importance of computational assumptions for ensuring security. The discussion delves into the complexities of designing cryptosystems based on isogenies over elliptic curves and highlights the need for robust security proofs in the quantum generic group action model.
Key points include:
The content provides valuable insights into advancing secure communication protocols using innovative approaches grounded in mathematical principles.
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by Mark Zhandry alle arxiv.org 03-11-2024
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