论文标题
在rydberg平台上使用Qudits的非亚洲仪表理论的硬件有效量子模拟
Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms
论文作者
论文摘要
在量子模拟的迅速发展的领域中，我们对自然界中基本力量的理解以及开发量身定制的量子硬件和算法的理解是我们对自然界中基本力量的理解的基础。在这里，我们采用了一种方法，即在时空中离散的量规场由Qudits表示，并在具有多级量子门的Trotter步骤中进行了时间演化。这自然地映射到基于Rydberg Tweezer阵列的体系结构上，在该架构中，长寿的内部原子状态代表Qudits，并且所需的量子门是作为由Rydberg Blockade机制支持的自动操作执行的。我们说明了我们对SU（2）量规场进行最小数字化的建议，这表明与传统的基于Qubit的方法相比，电路深度和门误差显着降低，这使得对NISQ设备范围内的非亚洲规格理论的模拟进行了模拟。
Non-abelian gauge theories underlie our understanding of fundamental forces in nature, and developing tailored quantum hardware and algorithms to simulate them is an outstanding challenge in the rapidly evolving field of quantum simulation. Here we take an approach where gauge fields, discretized in spacetime, are represented by qudits and are time-evolved in Trotter steps with multiqudit quantum gates. This maps naturally and hardware-efficiently to an architecture based on Rydberg tweezer arrays, where long-lived internal atomic states represent qudits, and the required quantum gates are performed as holonomic operations supported by a Rydberg blockade mechanism. We illustrate our proposal for a minimal digitization of SU(2) gauge fields, demonstrating a significant reduction in circuit depth and gate errors in comparison to a traditional qubit-based approach, which puts simulations of non-abelian gauge theories within reach of NISQ devices.
