Adiabatic invariants in adiabatic quantum computers
Simulation and characterization of large quantum coherent structures, such as adiabatic quantum processors, meets inherent difficulties because of the dimensionality of the corresponding Hilbert space growing exponentially with the system size. Adiabatic invariants, i.e. quantities which remain constant when the system undergoes an infinitesimally slow external perturbation, may provide a useful tool for solving this problem. The knowledge of these invariants would allow a reduced description of the system under external perturbation. You will be working on developing a general theory of adiabatic invariants in a perturbed quantum system using as a starting point the Pechukas-Yukawa formalism and generalized BBGKY chain.
Entry requirements Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Physics or Mathematics.
A relevant Master's degree and / or experience in one or more of the following will be an advantage: Physics or Mathematics.
All students must also meet the minimum English Language requirements: https://www.lboro.ac.uk/international/apply/english-language-requirements/
How to apply All applications are made online, please select the school/department name under the programme name section and include the quote reference number: PH/AZ-Un1/2019
Full Time Duration: 3 years
Part Time Duration: 6 years
Preferred start date: 1st October
This is an open call for candidates who are sponsored or who have their own funding. If you do not have funding, you may still apply, however Institutional funding is not guaranteed. Outstanding candidates (UK/EU/International) without funding will be considered for funding opportunities which may become available in the School.