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Laser & Optoelectronics Progress

Optimal Pulse Sequence of Quantum Controlled Not-Gates via Nuclear Magnetic Resonance Realization

彭永刚 Peng Yonggang

Published Jan 1, 2021• 1 citation
Publisher
DOI
10.3788/lop202158.0127002

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The three -qubit Toffoli gate is equivalent to the combination of two two -qubit controlled NOT gates and three two -qubit controlled phase -shift gates.The controlled NOT and phase -shift gates respectively comprise a combination of nuclear -magnetic -resonance pulse sequences and a free development operator of two nuclear spins with time.According to the order in which the controlled NOT and phase -shift gates act on the nuclear spin system, the nuclear -magnetic - resonance -based physical realization of a quantum Toffoli gate is achieved.The time -dependent Schrödinger equation is numerically solved by the Suzuki formula to confirm the correctness and feasibility of the realization of the quantum Toffoli gate based on nuclear magnetic resonance.
Nuclear magnetic resonance (NMR) is one of the experimental schemes for quantum computation. Most initial state of quantum algorithm in NMR computation is the pseudopure state. Until now, there are several methods to prepare pseudopure state. This note, based on the idea of controlled-not (CNOT) gates combination, has analyzed the characteristics of this method in the odd- and even-qubit system. Also, we have designed the pulse sequence for a 4-qubit sample to obtain pseudopure state, and realized it in the experiment. This method reduces the complexity of experiment and gives a high signal-to-noise (S/N) ratio.