论文标题
量子加法器的基于门的电路设计灵感启发超导Qubit的量子随机步行
Gate-Based Circuit Designs For Quantum Adder Inspired Quantum Random Walks on Superconducting Qubits
论文作者
论文摘要
量子随机步行在过去几十年中引起了人们对其明显非古典行为的关注，这是量子计算中有希望的子场。这些步道的理论框架和应用已经看到了许多伟大的数学进步，现在实验演示正在追赶。在这项研究中，我们使用基于量子加法器的移位算子进行了实施硬币量子随机步行的生存能力，其量子电路设计专门用于超导量子器。我们专注于这些步行的优势和劣势，尤其是电路深度，门数，连接性要求和可扩展性。我们提出并分析了一种新的方法来实现这些步行的边界条件，并在一个维度和二维中明确证明了技术。最后，我们在IBM的量子体积32“多伦多”芯片上运行电路，提出了几个保真度结果，展示了这些NISQ设备当前可以处理量子步行的程度。
Quantum Random Walks, which have drawn much attention over the past few decades for their distinctly non-classical behavior, is a promising subfield within Quantum Computing. Theoretical framework and applications for these walks have seen many great mathematical advances, with experimental demonstrations now catching up. In this study, we examine the viability of implementing Coin Quantum Random Walks using a Quantum Adder based Shift Operator, with quantum circuit designs specifically for superconducting qubits. We focus on the strengths and weaknesses of these walks, particularly circuit depth, gate count, connectivity requirements, and scalability. We propose and analyze a novel approach to implementing boundary conditions for these walks, demonstrating the technique explicitly in one and two dimensions. And finally, we present several fidelity results from running our circuits on IBM's quantum volume 32 `Toronto' chip, showcasing the extent to which these NISQ devices can currently handle quantum walks.
