Quantum Control Based On Nitrogen-vacancy Center In Diamond

Nitrogen-vacancy center systems are convenient to initialize and read out, have long coherence times and can be manipulated by alternating field with high precision at room temperature. Due to these good properties, NV center is the one of the most promising systems in achieving the quantum information and quantum control. In the past few years, there are many experiments successfully achieved with spins in dia-mond, including quantum computing,quantum simulating and precision measurement.I have participated in the research of quantum control based on NV center spins in diamond during the period of graduate study. We simulated the topological quantum transition of quantum wire topological insulator. Not only the topological number is obtained, but also the energy dispersion relation of different topological phases. We also achieved the detection of radio-frequency field at room temperature with a single electron spin of nitrogen-vacancy center. Besides, we implemented a quantum gate (CNOT gate) with a fidelity and verified the theories in quantum mechanic, such as Born’rule and uncertainty relation of three observables.This paper is written to introduce those works, the abstract is demonstrated as fol-low:The first chapter is to introduce the origin of quantum information and the concep-tions of quantum simulating and quantum precision measurement.The structure and properties of NV center are presented in the second chapter.In the third chapter, we introduce our home-built optical detection magnetic reso-nance platform, the experiments are carried on this platform.In the fourth chapter, we implemented the measurement of topological number of quantum transition with the spins in solid states. It is the first experiment that can obtain the topological number directly. Besides, we have reconstruct the energy dispersion relation by finding the eigenvalue of 1D quantum wire topological number.In the fifth chapter, the radio-frequency field are detected with a single electron spin in solid state. We build a solid sensor through measuring the effect of radio-frequency field on NV electron spin energy levels and the transition between them. Both of the phase and amplitude (including the transverse and longitudinal components) are measured.Reaching the threshold of fidelity is fundamental for fault-tolerant quantum com-puting. In the sixth chapter, we realized a CNOT gate with a high fidelity of 0.992.