As an interesting and significant research domain, reversible logic is massively utilized in technologies, including optical computing, cryptography, quantum computing, nanotechnology, and so on. The realization of quantum computing is not possible without the implementation of reversible logic, and reversible designs are presented mainly to minimize the thermal loss because of the data input bits lost in the irreversible circuit. Digital converters, as the most important logic circuits, are used to connect computing systems with different binary codes. This paper first proposes a new reversible gate called Reversible Noorallahzadeh[Formula: see text]Mosleh Gate (RNMG). Then, using the proposed RNMG gate as well as existing NMG1, NMG6, and PG gates, three different designs of reversible Binary-Coded Decimal (BCD) to EX-3 code converter are proposed. Our results indicate that the proposed BCD to EX-3 code converters are superior to previous designs in terms of quantum cost. Moreover, the proposed converters are comparable or better than previous designs in terms of gate count, constant inputs, and garbage outputs.

中文翻译：

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具有低量子成本的纳米级可逆 BCD 到 EX-3 转换器的高效设计

作为一个有趣且重要的研究领域，可逆逻辑被大量应用于光学计算、密码学、量子计算、纳米技术等技术中。量子计算的实现离不开可逆逻辑的实现，而可逆设计的提出主要是为了最大限度地减少由于不可逆电路中数据输入位丢失而导致的热损失。数字转换器作为最重要的逻辑电路，用于连接不同二进制代码的计算系统。本文首先提出了一种新的可逆门，称为Reversible Noorallahzadeh[公式：见正文]Mosleh Gate (RNMG)。然后，使用提出的 RNMG 门以及现有的 NMG1、NMG6 和 PG 门，提出了三种不同的可逆二进制编码十进制 (BCD) 到 EX-3 代码转换器的设计。我们的结果表明，所提出的 BCD 到 EX-3 代码转换器在量子成本方面优于以前的设计。此外，所提出的转换器在门数、恒定输入和垃圾输出方面与以前的设计相当或更好。