2018
DOI: 10.1007/s11128-018-2096-2
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Abstract: Quantum Fourier transform (QFT) plays a key role in many quantum algorithms, but the existing circuits of QFT are incomplete and lacking the proof of correctness. Furthermore, it is difficult to apply QFT to the concrete field of information processing. Thus, we firstly investigate quantum vision representation (QVR) and develop a model of QVR (MQVR). Then, we design four complete circuits of QFT and inverse QFT (IQFT) and describe the functions of their components. Meanwhile, we prove the correctness of the f…

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