Workshop on Graph Theory, Algebraic Combinatorics, and Mathematical Physics

该项目支持美国参与者参加2022年7月25日至8月19日在加拿大魁北克省蒙特利尔数学研究中心（CRM）举行的“图论、代数组合学和数学物理”研讨会。这项旅行补助金旨在为在美国从事早期职业的数学科学家、研究生和博士后学者提供支持，使他们能够与国际科学界建立联系。这将有助于培养下一代数学家在代数组合学和图论方面的工作，以解决量子计算的基本问题（一个高度关键的领域，其日益增长的重要性具有深远的影响）。过去几十年来，一个重要的智力科学挑战是寻求理解和利用量子信息和计算的力量。众所周知，量子辅助计算可以完成经典计算机难以完成的敏感任务。为了实现这一科学挑战，量子信息科学需要广泛的参与，从研究奇异量子系统的物理学家到探索导致意想不到应用的抽象结构的数学家。支持的活动将促进和鼓励跨学科数学领域研究人员的科学参与和互动，以推进量子信息科学的知识。众所周知，量子计算机的存在对广泛用于保护金融、医疗和国家安全应用的敏感信息的加密系统构成了威胁。另一方面，使用量子技术进行安全通信也被证明是有效的。重要的是，美国保持并扩大其在这个不断扩大和快速发展的科学领域的现有优势。该基金将支持在数学、物理和计算机科学领域工作的早期职业和初级美国科学家参加量子信息科学的国际研究会议。这些科学家的参与将建立和加强美国在这一高度关键领域的科学人才基础。将作出特别努力，吸引妇女、少数民族和代表性不足的群体以及主要在本科院校工作的学者参加。该奖项反映了美国国家科学基金会的法定使命，并通过基金会的知识价值和更广泛的影响审查标准进行评估，认为值得支持。

This project supports U.S. participants to attend the workshop "Graph Theory, Algebraic Combinatorics, and Mathematical Physics" from July 25 to August 19, 2022 at Centre de Recherches Mathematiques (CRM) in Montreal, Quebec, Canada. This travel grant is aimed at providing support for U.S. based mathematical scientists who are early-career faculty, graduate students, and post-doctoral scholars, allowing them to build connections with the international scientific community. This will help in the training of the next generation of mathematicians in algebraic combinatorics and graph theory working on fundamental problems in quantum computing (a highly critical area whose growing importance has far-reaching consequences).An important intellectual scientific challenge of the past several decades is the quest to understand and harness the power of quantum information and computation. It is known that a quantum-assisted computation can perform sensitive tasks that are difficult for classical computers. To achieve this scientific challenge, quantum information science requires a broad participation ranging from physicists studying exotic quantum systems to mathematicians exploring abstract structures which lead to unexpected applications. The supported activity will foster and encourage the scientific participation and interaction of researchers from interdisciplinary mathematical areas to advance knowledge in quantum information science.The existence of a quantum computer is a well-known threat to cryptographic systems widely used in protecting sensitive information for financial, medical, and national security applications. On the other hand, the use of quantum technology for secure communication has also been demonstrated to be effective. It is important that the U.S. maintains and expands its current edge in this expanding and fast-moving scientific field. This grant will support early-career and junior U.S. scientists working in mathematics, physics, and computer science, to participate in an international research meeting on quantum information science. The participation of these scientists will build and strengthen the U.S. science personnel base in this highly critical area. A special effort will be made to attract participation from women, minorities and underrepresented groups, and from academics working in primarily undergraduate institutions. Workshop webpage: http://www.crm.umontreal.ca/2022/Graph22/index_e.phpThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.