Conference: ICMS: Topological Quantum Computing

几十年来，量子计算一直是一个主要的研究领域，来自学术界、工业界和政府的许多科学领域的研究人员共同致力于量子技术的发展。如果能够建造出强大的量子计算机，它将从根本上改变信息科学和技术的格局。虽然由于典型量子态的微妙性质而导致的错误已经减缓了进展，但拓扑量子计算（TQC）是可以克服这个问题的方法。这是通过利用信息可以“打结”的材料，就像量子量子交换器一样，使它们对最常见的错误具有自然的鲁棒性。经过几年的相关研究小组独立工作，现在是时候将不同的物理学家和数学家聚集在一起，重新审视该领域并探索拓扑量子计算的新平台。该补助金支持美国研究人员参加在英国举行的研讨会，以实现这一目标，促进美国，英国和世界其他地区研究人员之间的新合作，并扩大初级研究人员和历史上在这一领域代表性不足的团体成员的参与。本次研讨会将汇集TQC及其相关领域的研究人员，旨在拓宽和深化这一主题，并着眼于加速可扩展技术的实现。可扩展容错的障碍在当前的渐进式进展中是无法克服的-虽然可以设计支持数百个物理量子位的系统，但它可以在任何情况下都可以实现。超出仅仅原理证明的应用需要数百万量子位来实现鲁棒的纠错。拓扑量子计算依赖于支持非阿贝尔任意子执行固有容错操作的物质的拓扑相的准备。由于通过任意子的拓扑性质在硬件级别纠正了错误，因此同时克服了可扩展性的问题。另一方面，尽管经过多年的努力，我们仍然没有确凿的证据证明非阿贝尔任意子的存在。我们将探索超越传统任意子社区的新方向，包括相关主题，如量子细胞自动机，分形子，分类对称性和三维运动群。该活动的网站可在：https://www.icms.org.uk/TopologicalQuantumComputation.This奖项反映了NSF的法定使命，并已被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估的支持。

Quantum computation has been a major area of research for several decades now, with researchers from many scientific fields across academia, industry and government working together towards the development of quantum technologies. If a powerful quantum computer can be built it will fundamentally transform the landscape of information science and technology. While errors due to the delicate nature of typical quantum states have mitigated progress, topological quantum computation (TQC) is an approach that could overcome this issue. This is by utilizing materials in which information can be "knotted," like a quantum quipu, making them naturally robust against the most common errors. After several years of the relevant research groups working separately, the time is right to bring together a diverse group of physicists and mathematicians with the goal of re-examining the field and exploring new platforms for topological quantum computation. This grant supports the participation of US-based researchers in a workshop to be held in the UK to achieve this goal, foster new collaborations between researchers in the US, the UK, and the rest of the world, and broaden the participation of junior researchers and members of groups historically under-represented in this area. This workshop will bring together researchers in a diversity of fields in and around TQC for the purpose of broadening and deepening the subject, with an eye towards accelerating the realization of scalable technology.The hurdle of scalable fault-tolerance is insurmountable with the current incremental progress -- while it is possible to engineer systems supporting hundreds of physical qubits, applications beyond mere proof of principle require millions of qubits to implement robust error correction. Topological quantum computation relies upon the preparation of topological phases of matter supporting non-abelian anyons to perform inherently fault-tolerant operations. As errors are corrected at the hardware level through the topological nature of anyons, the problem of scalability is simultaneously overcome. On the other hand, despite years of effort we still do not have unassailable confirmation that non-abelian anyons exist. We will explore new directions beyond the traditional anyon community, embracing relevant topics such as quantum cellular automata, fractons, categorical symmetries and motion groups in 3-dimensions. A website for this event is available at: https://www.icms.org.uk/TopologicalQuantumComputation.This 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.