论文标题
量子步行和可编程的捕获量子量子计算机上的Dirac Cellular Automata
Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer
论文作者
论文摘要
量子步行形式主义是一个广泛使用且非常成功的框架，用于建模量子系统，例如dirac方程的模拟，低能和高能制度中的不同动态以及开发广泛的量子算法。在这里，我们介绍了基于电路的实现在五倍捕获的离子量子处理器上在位置空间中的离散时间量子步行的实现。我们编码沃克位置在特别的多量状态下的空间，并对系统进行编程以使用不同的量子步行参数运行，从而实验实现了具有可调质量参数的Dirac Cellular Automaton。量子步行电路和位置状态映射比例比更大的模型和物理系统有利，从而允许基于离散时间量子步行算法的任何算法以及与DIRAC方程的离散版本相关的动态。
The quantum walk formalism is a widely used and highly successful framework for modeling quantum systems, such as simulations of the Dirac equation, different dynamics in both the low and high energy regime, and for developing a wide range of quantum algorithms. Here we present the circuit-based implementation of a discrete-time quantum walk in position space on a five-qubit trapped-ion quantum processor. We encode the space of walker positions in particular multi-qubit states and program the system to operate with different quantum walk parameters, experimentally realizing a Dirac cellular automaton with tunable mass parameter. The quantum walk circuits and position state mapping scale favorably to a larger model and physical systems, allowing the implementation of any algorithm based on discrete-time quantum walks algorithm and the dynamics associated with the discretized version of the Dirac equation.
