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

• URL: http://arxiv.org/abs/2208.14249v1
• Date: Tue, 30 Aug 2022 13:24:16 GMT
• Title: Optimizing the number of CNOT gates in one-dimensional nearest-neighbor quantum Fourier transform circuit
• Authors: Byeongyong Park (1,2), Doyeol Ahn (1,2,3) ((1) Department of Electrical and Computer Engineering and Center for Quantum Information Processing, University of Seoul, Republic of Korea, (2) First Quantum Inc., Seoul, Republic of Korea, (3) Physics Department, Florida Atlantic University, Boca Raton, FL)
• Abstract summary: We construct a one-dimensional nearest-neighbor circuit of quantum Fourier transform (QFT) It is found that our method reduces the number of CNOT gates by 60%. Our results for the one-dimensional nearest-neighbor circuit can be applied to quantum amplitude estimation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The physical limitations of quantum hardware often require nearest-neighbor qubit structures, in which two-qubit gates are required to construct nearest-neighbor quantum circuits. However, two-qubit gates are considered a major cost of quantum circuits because of their high error rate as compared with single-qubit gates. The controlled-not (CNOT) gate is the typical choice of a two-qubit gate for universal quantum circuit implementation together with the set of single-qubit gates. In this study, we construct a one-dimensional nearest-neighbor circuit of quantum Fourier transform (QFT), which is one of the most frequently used quantum algorithms. Compared with previous studies on n-qubit one-dimensional nearest-neighbor QFT circuits, it is found that our method reduces the number of CNOT gates by ~60%. Additionally, we showed that our results for the one-dimensional nearest-neighbor circuit can be applied to quantum amplitude estimation.

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