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Quantum Cellular Automata (QCA) is a type of computational model that integrates quantum mechanics and traditional computer fields. QCA uses the concepts of quantum superposition and entanglement to perform calculations inspired by cellular automata. QCA holds the promise of developing high-performance, low-power devices capable of operating at the atomic or molecular scale. This paper introduces a novel complement design utilizing QCA technology, exploring its efficiency through both design and analysis. The main goal is to minimize the QCA cell count and decrease the overall footprint, all while maintaining operational efficiency. The proposed design is a new method to implement a majority gate, which is an important part of the adder. This efficient majority gate is the basis for building an adder with a small footprint and reduced clock cycles. The results show significant improvements over existing designs in LTspice and demonstrate the effectiveness of the proposed approach in achieving computational efficiency in the QCA framework.
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