Mirzababaei et al. in  used a customized cell for the half adder. However, the proposed circuit has a long clock cycle and 0.03 m2 area. In 2017, Nourinezhad et al. proposed a majority logic layout for the half adder in . The half adder has five inputs of the number 1, 2, 3, 4 and 5. The number of quantum cells in the half adder is seven and the area is 0.03 m2. The proposed circuit consists of a XOR gate, the half adder and the full adder, which has a total delay of 0.75 clock cycles. The XOR gate has two inputs of 1 and 0 and the half adder has three inputs of 1, 2 and 3.
In 2018, Mirsaeidi et al. published a novel adder with only 36 quantum cells and 0.03 m2 area in . This adder is designed on a hexagonal layout, and the XOR and MV gates are connected to each other through a quantum cell. Besides, the complementary input of the XOR gate is formed by the two outputs of the half adder. The output of the XOR gate outputs carry, when its input is 1 and when its input is 0, the output of the half adder becomes carry. The number of quantum cells in the QCA adder is two times the number of quantum cells in the half adder. The proposed adder consists of half-adder and the XOR gate and has an area of 0.03 m2. The half-adder has 4 quantum cells for the XOR gate and half XOR and half-AND gates are utilized to build the half-adder. The half adder has a delay of 0.3 clock cycles. The XOR gate has an input delay of 0.5 clock cycles, and the half-adder has a total delay of 0.75 clock cycles.
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