论文标题
一维懒量子步行三元系统
One-Dimensional Lazy Quantum walk in Ternary System
论文作者
论文摘要
量子步行对于开发量子算法和量子模拟起着重要作用。在这里，我们提出一维三州量子步行（Lazy Quantum Walk），并显示了其对第一个同类量子逻辑中电路实现的等效性。使用助行器在多Qutrit状态上演变为多Qutrit状态的位置空间的适当逻辑映射，我们提出了有效的量子电路，考虑到最近在三元量子系统中在一维位置空间中实现最近的邻居位置空间。我们还根据$ n $ qutrit三元系统的可扩展性，并具有三个QUTRIT状态空间的示例电路。
Quantum walks play an important role for developing quantum algorithms and quantum simulations. Here we present one dimensional three-state quantum walk(lazy quantum walk) and show its equivalence for circuit realization in ternary quantum logic for the first of its kind. Using an appropriate logical mapping of the position space on which a walker evolves onto the multi-qutrit states, we present efficient quantum circuits considering the nearest neighbour position space for the implementation of lazy quantum walks in one-dimensional position space in ternary quantum system. We also address scalability in terms of $n$-qutrit ternary system with example circuits for a three qutrit state space.
