B.Sc. and M.Sc. Projects
Additionally to the advertised projects, we are always very happy about unsolicited applications. Please contact the principal investigator who you want to work with to discuss possible projects.Kardynal
B.Sc.-Project Dark-field microscopy for resonant excitation of self-assembled quantum dots
In this project, you will develop dark-field optical microscopy setup based on polarization optics. You will use it to characterise properties of the InAs quantum dots under resonant excitation. To achieve this goal you will add the polarization optics in the existing micro-photoluminescence setup and develop an algorithm to align it for a maximum signal to background ratio.
Project description (PDF) Contact: Beata Kardynal
Simulation and Modelling
Additionally to the advertised projects, we are always very happy about unsolicited applications. Please contact the principal investigator who you want to work with to discuss possible projects.
Please find a couple of examples of theoretical projects below. However, we always consider unsolicited applications. Please contact the principal investigator with whom you want to work to discuss possible projects.David DiVincenzo
Hall Effect Gyrator
This work will continue recent investigations in our group on the action of an essential component in quantum microwave science, the gyrator. Here you will do calculations of the real-time propagation of electromagnetic fields in this device. Contact: David DiVincenzo
B.Sc. Project Improved Quantum Dot Qubits
In this project you will explore theoretically variants of the semiconductor quantum dot to perform quantum gate fidelity and readout. There will be an emphasis on tailoring the spin-orbit action to achieve optimal performance, and on varying the electron number and confinement strength. Contact: David DiVincenzo
B.Sc. and M.Sc. Projects Superconducting Qubits
In these projects you will study theoretically some basic properties (energy levels, wave functions, matrix elements) of superconducting qubits such as the fluxonium and the flux qubit. These properties can be accurately calculated numerically in most cases, especially if the problem reduces to that of a quantum particle in a one-dimensional potential. The goal here is to construct an approximate but accurate analytical solution to such a quantum-mechanical problem, using perturbation theory, the WKB approximation, etc. For a B.Sc. project, a symmetric double-well potential will be analyzed. Extension of the results to asymmetric potentials, and to two- or three-dimensional problems, can be considered for a M.Sc. project. Contact: Gianluigi Catelani (firstname.lastname@example.org)
M.Sc. Project Multi-Qubit Gates for Superconducting Transmon Qubits
This project is a continuation of the M.Sc. project by Susanne Richer (see completed projects with Prof. DiVincenzo) and involves the proposal and analysis of high-fidelity multi-qubit gates for superconducting transmon qubits. We will seek a generalization of a CPHASE gate enacted by adiabatic changes of the multi-level transmon qubit Hamiltonian and microwave-activated gates such as the Cross-Resonance gate. Knowledge of (advanced) quantum optics is required. Contact: Prof. TerhalB.M. Terhal
M.Sc. Project Perturbative Gadgets in Quantum Computation
Perturbative gadgets are mathematical tools based on non-degenerate perturbation theory to determine a, so-called, simulator Hamiltonian whose low-energy effective physics is that of a, often more involved, target Hamiltonian. Their use in complexity theory and (adiabatic) quantum computation is to show that there are equivalence relations between classes of Hamiltonians such that one Hamiltonian can be used to simulate another one. Gadgets can be defined using self-energy expansion or Schrieffer-Wolff perturbation theory. The aim of this project is (1) to create an on-line dictionary of the known (growing) list of gadgets and (2) to develop Schrieffer-Wolff based 'precision-tolerant' gadgets. For an introduction to perturbative gadgets one can read this overview article.
Prerequisite: Interest and ability in rigorous mathematical physics. Contact: Prof. Terhal