In this thesis, we explore non-Markovian noise in the central spin system due to thecoupling between the central spin and the environment. We use a solid state nuclearmagnetic resonance system to do the experiment since we have control over both the centralspin and environment. In particular, we can manipulate the interaction between the centralspin and the environment and the interaction between spins from the environment to studytheir effects individually. A powder of triphenylphosphine is used in the experiment. Achange of local field seen by the central spin caused by interaction between spins in theenvironment is measured experimentally. A quantitative measure of non-Markovianity ofnoise on the central spin and a method to estimate non-Markovianity using the randomizedbenchmarking protocol are introduced.
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Measuring Non-Markovianity of Noise in the Cenrtal Spin System