Optimal Spin Control in Nitrogen Vacancy Centers in Diamond

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In this thesis, we explore the effect of single qubit (electron) control techniques like Rabi oscillations, Free Induction Decay (FID) and Dynamical Decoupling (DD), using microwave (MW) pulse sequences. We characterize the Hamiltonian of both single and two-qubit systems and simulate the effect of these pulse sequences, before verifying these effects experimentally. We also talk about the quantum state tomography (QST) of a single qubit in NV centers. Next, we move on to nuclear spin control using radio-frequency (RF) and MW pulse sequences, and obtain nuclear spin Rabi oscillations and FID. Finally, we talk some of the challenges associated with the experimental implementation of these techniques, before exploring a method to counter one of these challenges. The successful implementation of these techniques opens up the road to using more advanced pulse sequences on both single (electron spin) and multiple (electron with nuclear spin) qubit systems for achieving required gate operations, as well as protecting spins from decoherence due to interactions with the environment.

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