Quantum-dot cellular automata (QCAs) are one of the most significant state-of-the-art technologies that have exhibited the potential to replace the complementary metal oxide semiconductor. QCA offers a variety of benefits over its conventional counterpart, including size, latency, and energy consumption. Meanwhile, multiplexers are crucial to the design of arithmetic and logic circuits, and NOT-AND (NAND) gates are universal gates that allow the design of any circuit. In this paper, we propose a new multiplexer based on three NAND gates in QCA. De Morgan's law is used to derive new equations and to design multiplexers using only NAND logics. The proposed circuit is designed and verified not only to minimize time and space complexity but also to minimize energy loss. Finally, we design an arithmetic circuit that is capable of performing various operations using the proposed multiplexer.

中文翻译：

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使用基于多数函数的 NAND 设计用于量子计算的纳米技术 QCA-多路复用器

量子点元胞自动机 (QCA) 是最重要的最先进技术之一，已展现出取代互补金属氧化物半导体的潜力。QCA 与其传统对应物相比具有多种优势，包括尺寸、延迟和能耗。同时，多路复用器对算术和逻辑电路的设计至关重要，而与非 (NAND) 门是允许设计任何电路的通用门。在本文中，我们提出了一种基于 QCA 中三个与非门的新多路复用器。德摩根定律用于推导新方程和仅使用 NAND 逻辑设计多路复用器。所提出的电路的设计和验证不仅可以最大限度地减少时间和空间复杂性，而且可以最大限度地减少能量损失。最后，