论文标题
实现等效形式的一维离散时间量子步行的量子电路在近期量子硬件上
Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware
论文作者
论文摘要
量子步行是开发量子算法和量子模拟的有希望的框架。它们代表了应用量子计算机的重要测试用例。在这里，我们提出不同形式的离散时间量子步行（DTQW），并显示出它们在物理实现方面的等效性。使用适当的数字映射，助行器在该位置空间上演变为量子处理器的多等级状态，我们提出了量子电路的不同配置，以在一维位置空间中实现DTQW。我们为五Q量的处理器提供了示例电路，并将可扩展性解决到更高的尺寸以及较大的量子处理器。
Quantum walks are a promising framework for developing quantum algorithms and quantum simulations. They represent an important test case for the application of quantum computers. Here we present different forms of discrete-time quantum walks (DTQWs) and show their equivalence for physical realizations. Using an appropriate digital mapping of the position space on which a walker evolves to the multiqubit states of a quantum processor, we present different configurations of quantum circuits for the implementation of DTQWs in one-dimensional position space. We provide example circuits for a five-qubit processor and address scalability to higher dimensions as well as larger quantum processors.
