利用多目标线改进可逆电路到量子电路的映射

R. Wille, Mathias Soeken, Christian Otterstedt, R. Drechsler
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引用次数: 55

摘要

量子电路的高效合成是一个活跃的研究领域。由于许多已知的量子算法都包含一个大的布尔分量(例如,Grover搜索算法中的数据库),量子电路通常以两阶段的方法合成。首先,利用该领域现有的合成方法,以可逆电路的形式实现所需的功能。然后,每个可逆门被映射到一个功能等效的量子门级联。在本文中,我们提出了一种改进的可逆电路到量子电路的映射,它利用了许多可逆电路的特定结构。事实上,可以观察到,可逆电路通常由相似的门组成,它们只是在目标线的位置上不同。我们引入了一种可逆门的扩展,它允许在一个门中有多个目标线。这使得映射到量子电路的成本大大降低。实验表明,考虑多个目标线可使量子成本提高高达85%。
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Improving the mapping of reversible circuits to quantum circuits using multiple target lines
The efficient synthesis of quantum circuits is an active research area. Since many of the known quantum algorithms include a large Boolean component (e.g. the database in the Grover search algorithm), quantum circuits are commonly synthesized in a two-stage approach. First, the desired function is realized as a reversible circuit making use of existing synthesis methods for this domain. Afterwards, each reversible gate is mapped to a functionally equivalent quantum gate cascade. In this paper, we propose an improved mapping of reversible circuits to quantum circuits which exploits a certain structure of many reversible circuits. In fact, it can be observed that reversible circuits are often composed of similar gates which only differ in the position of their target lines. We introduce an extension of reversible gates which allow multiple target lines in a single gate. This enables a significantly cheaper mapping to quantum circuits. Experiments show that considering multiple target lines leads to improvements of up to 85% in the resulting quantum cost.
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