Collaborative Research: EMT/QIS: Quantum Algorithms and Post-Quantum Cryptography

合作研究：EMT/QIS：量子算法和后量子密码学

• 批准号: 0829909
• 负责人: Leonard Schulman
• 金额: $ 10万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-09-15 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0829909&HistoricalAwards=false
• 关键词: Collaborative; Research; EMT; QIS; Quantum

Collaborative Research: EMT/QIS:Quantum Algorithms and Post-Quantum CryptographyProject SummaryCryptography is the basic infrastructural element enabling privacy and security for electronic transactions. However, when a large-scale quantum computer is finally built, it will force us to abandon established methods of cryptography, such as RSA and Diffie-Hellman, which are in common use today. The proposed research will further this line of disruptive quantum algorithmic research; but it also aims to erect a new framework of secure post-quantum cryptography, in order to maintain this societally critical infrastructure.The most attractive approach for salvaging modern cryptography would be to develop classical cryptosystems for which we have compelling evidence of security even in the face of quantum adversaries. Recent work by the PIs and their collaborators has shown that certain algebraic problems possess hardness properties relevant even for quantum algorithms. We propose to strengthen and leverage these results in order to develop cryptographic schemes which can be carried out by today's computers, but which will remain secure even against quantum attack in the future.In tandem with this effort, we propose to develop new quantum algorithms for breaking cryptosystems based on conjugacy in the braid group. This is one of the few remaining classical cryptosystems which has not already been shown to be vulnerable to quantum attack.Our research program is also directly integrated with graduate student training at all four institutions, undergraduate educational innovation, educational outreach, and broad scientific dissemination.

合作研究：EMT/QIS：量子算法和后量子密码学项目摘要密码学是实现电子交易隐私和安全的基本基础设施元素。 然而，当一台大规模量子计算机最终建成时，它将迫使我们放弃现有的密码学方法，如RSA和Diffie-Hellman，这些方法在今天很常用。 拟议中的研究将进一步推进这一颠覆性量子算法研究;但它也旨在建立一个新的安全后量子密码学框架，以维护这一社会关键基础设施。拯救现代密码学最有吸引力的方法是开发经典密码系统，即使面对量子对手，我们也有令人信服的安全证据。PI及其合作者最近的工作表明，某些代数问题具有甚至与量子算法相关的硬度特性。我们建议加强和利用这些结果，以开发加密方案，可以进行今天的计算机，但这将保持安全，即使对量子攻击在future.In与此同时，我们建议开发新的量子算法，打破密码系统的基础上共轭的辫子群。 这是为数不多的经典密码系统之一，还没有被证明是脆弱的量子attack.Our研究计划也直接结合在所有四个机构的研究生培养，本科教育创新，教育推广和广泛的科学传播。