Collaborative Research: High-dimensional quantum states in two-dimensional material quantum dots

非技术摘要：这个合作项目研究被称为二维材料的特殊材料，如金属硫属化物。最近的预测表明，这些材料具有有趣的特性。该项目旨在利用外部施加的电场和磁场开发这些特性，以获得将促进量子信息处理和量子计算技术发展的知识。该项目与教育活动相结合，以培养研究生，并使本科生和大学预科生参与研究。该项目还使PI能够继续成功地指导来自代表性不足的群体的成员。技术摘要：量子电路的基本构建块是量子比特或量子比特。最近认识到，被称为量子点的高维量子态对量子信息处理有许多潜在的优势，这引起了人们对这一主题的关注。这些涉及量子模拟，量子通信，量子力学的基本测试和改进的量子纠错等领域。本计画利用二维金属硫族化合物独特的多谷能带结构，实现基于多个味自由度的高维量子态。这些材料具有预测的SU（3）对称性，由于类似于粒子物理学中的夸克模型而特别感兴趣，并且这种对称性在凝聚态系统中非常罕见。该项目实验测试预测新的可调近藤效应和库仑阻塞行为出现这种对称性。该项目还进行了旨在操纵这些风味状态的实验，以开发基于风味电子学的量子信息处理。这些研究活动与为实验提供信息的并行理论工作相结合，导致旨在开发基于超越石墨烯二维材料的高维量子态的协同努力。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

Nontechnical Abstract:This collaborative project studies special materials known as two-dimensional materials such as metal chalcogenides. Recent predictions indicate that these materials have interesting properties. The project aims to develop these properties using externally applied electric and magnetic fields in order to gain knowledge that will promote development of quantum information processing and quantum computing technologies. The project is integrated with educational activities to train graduate students and involve undergraduate and pre-college students in research. The project also enables the PIs to continue their successful mentoring of members from underrepresented groups.Technical Abstract:A basic building block of quantum circuits is the quantum bit or qubit. Recent recognition that higher-dimensional quantum states known as qudits have many potential advantages towards quantum information processing has generated much focus on this topic. These pertain to areas such as quantum simulation, quantum communications, fundamental tests of quantum mechanics, and improved quantum error correction. This project uses two-dimensional metal chalcogenides’ unique band structures comprising multiple valleys to realize high-dimensional quantum qudit states based on multiple flavor degrees of freedom. These materials have a predicted flavor SU(3) symmetry, of particular interest because of the analogy to the quark model in particle physics, and this symmetry is extremely rare in condensed matter systems. The project experimentally tests predictions for novel tunable Kondo effects and Coulomb blockade behavior emerging from this symmetry. The project also performs experiments aimed at manipulating these flavor states to develop qudits towards quantum information processing based on flavortronics. These research activities are coupled with a parallel theoretical effort that informs the experimental one, leading to a synergistic effort aimed at the development of high-dimensional quantum states based on beyond-graphene two-dimensional materials.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.