Abstract:
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.
