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The physical limitations of quantum hardware often require nearest-neighborqubit structures, in which two-qubit gates are required to constructnearest-neighbor quantum circuits. However, two-qubit gates are considered amajor cost of quantum circuits because of their high error rate as comparedwith single-qubit gates. The controlled-not (CNOT) gate is the typical choiceof a two-qubit gate for universal quantum circuit implementation together withthe set of single-qubit gates. In this study, we construct a one-dimensionalnearest-neighbor circuit of quantum Fourier transform (QFT), which is one ofthe most frequently used quantum algorithms. Compared with previous studies onn-qubit one-dimensional nearest-neighbor QFT circuits, it is found that ourmethod reduces the number of CNOT gates by ~60%. Additionally, we showed thatour results for the one-dimensional nearest-neighbor circuit can be applied toquantum amplitude estimation.

Optimizing the number of CNOT gates in one-dimensional nearest-neighbor quantum Fourier transform circuit