Using the Random-Cluster Model for Ising Model Simulations

This thesis contains a rigorous derivation of the path integral formulation of the Isingmodel with multiple original proofs. Besides that, thesis also contains various resultsof simulations of the 2D square lattice Ising Model with nearest-neighbour interactionsusing the Swendsen-Wang algorithm. Using finite size scaling to find critical...

NMR effective Hamiltonian engineering and decoupling

We introduce a method of designing NMR pulse sequences, with a specific focus toward complete decoupling of carbon-13 spin qubits coupled to a nitrogen-vacancy (NV) center in diamond. Using Average Hamiltonian Theory, we calculate different intermediate Hamiltonians corresponding to different rotations implemented by NMR pulses. Two novel pulse...

Calibrated cryogenic amplifier measurements: Determining the characteristics of a current pumped nanobridge Josephson Parametric Amplifier using Short-Open-Load and Thermal Calibration

In this project, we have done a calibrated measurement on a previously designed and fabricated current pumped Josephson Parametric amplifier. We have installed a microwave switch into our crygenic fridge tobe able to get a calibrated response measurement using Short-Open-Load calibration, which we used withmeasurements of the gain and flux...

Simulating the Charge-Resonance Check in Nitrogen-Vacancy Centers using Python

In this report we present a model to simulate the performance and robustness of the Charge-Resonance Check (CR-Check) in the Nitrogen-Vacancy (NV) center. The CR-Check is a routine which verifies that the charge state of the NV center is NV$^-$ and that the lasers, addressing the NV center, are on resonance with the optical lines. This is done...