论文标题

计划用于图形着色的量子算法的汇编

Planning for Compilation of a Quantum Algorithm for Graph Coloring

论文作者

Do, Minh, Wang, Zhihui, O'Gorman, Bryan, Venturelli, Davide, Rieffel, Eleanor, Frank, Jeremy

论文摘要

AI社区已将编译用于近期量子处理器实施的一般量子算法的问题。先前的工作表明,时间计划是该汇编任务的一部分的有吸引力的方法,特别是实现量子交替运算符ANSATZ(QAOA)的电路路由,该电路应用于量子处理器体系结构上的MaxCut问题。在本文中,我们将较早的工作扩展到路由为图形着色问题实施QAOA的电路。 QAOA用于着色,需要在芯片上执行更多,更复杂的操作,这使路由成为更具挑战性的问题。我们评估了领先的量子计算公司的最新硬件体系结构的方法。此外,我们将计划方法应用于Qubit初始化。我们的经验评估表明,时间计划与合理的分析上限进行了很好的比较,并且使用经典规划师求解Qubit初始化通常有助于临时计划者找到用于图形着色的QAOA的较短的MAKESPAN汇编。这些进步表明,时间计划可以是更复杂的量子计算算法和体系结构的有效方法。

The problem of compiling general quantum algorithms for implementation on near-term quantum processors has been introduced to the AI community. Previous work demonstrated that temporal planning is an attractive approach for part of this compilationtask, specifically, the routing of circuits that implement the Quantum Alternating Operator Ansatz (QAOA) applied to the MaxCut problem on a quantum processor architecture. In this paper, we extend the earlier work to route circuits that implement QAOA for Graph Coloring problems. QAOA for coloring requires execution of more, and more complex, operations on the chip, which makes routing a more challenging problem. We evaluate the approach on state-of-the-art hardware architectures from leading quantum computing companies. Additionally, we apply a planning approach to qubit initialization. Our empirical evaluation shows that temporal planning compares well to reasonable analytic upper bounds, and that solving qubit initialization with a classical planner generally helps temporal planners in finding shorter-makespan compilations for QAOA for Graph Coloring. These advances suggest that temporal planning can be an effective approach for more complex quantum computing algorithms and architectures.

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