Laser & Optoelectronics Progress, Volume. 58, Issue 1, 127002(2021)
Optimal Pulse Sequence of Quantum Controlled Not-Gates via Nuclear Magnetic Resonance Realization
Using the definitions of quantum controlled not-gates and single qubit rotating-gates, we design four kinds of pulse sequences, which are logically equivalent to the nuclear magnetic resonance (NMR) realization of quantum controlled not-gates. Under the condition that the radio frequency pulse duration is much shorter than the interaction time between two nuclear spins, the two-body time-dependent Schr?dinger equation with NMR is approximately solved in the rotating reference frame and the optimal NMR pulse sequence parameter value for the quantum controlled not-gate is given. Meanwhile, according to the Suzuki''s symmetric product formula, the time-dependent Schr?dinger equation is numerically calculated, the performance of these four sequences of quantum controlled not-gates is demonstrated by numerical calculation, and the performance advantages and disadvantages of different pulse sequences are judged.
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Peng Yonggang. Optimal Pulse Sequence of Quantum Controlled Not-Gates via Nuclear Magnetic Resonance Realization[J]. Laser & Optoelectronics Progress, 2021, 58(1): 127002
Category: Quantum Optics
Received: Apr. 27, 2020
Accepted: --
Published Online: Jan. 28, 2021
The Author Email: Yonggang Peng (pengyg@njupt.edu.cn)