Supervisors info:
Καρανίκας Αλέξανδρος (Αναπληρωτής Καθηγητής, κύριος επιβλέπων), Διάκονος Φώτιος (Αναπληρωτής Καθηγητής), Μαϊντάς Ξάνθος (Επίκουρος Καθηγητής)
Summary:
Quantum computer is a currently open subject of modern science, both
theoretically and practically. We present a specific kind of quantum systems,
the topological ones, whose remarkable features makes them strong candidates
for the realization of quantum computation. We, then, analyze a rather simple
problem of electromagnetism, which turns out to capture surprisingly rich
physics, and also turns out to be of topological nature. The corresponding
phenomenon is called quantum Hall effect.We present its versions, both the
integer and the fractional one, and we emphasize on its emergent nature –ie, it
presents macroscopic features that the microscopic, redundant analysis can’t
take into account. We examine the agreement between theoretical predictions
with most experimental facts and we approach those that the theory can’t
capture.We also present the unsolved problems of physics linked with the
phenomenon, and why could this be the case. Finally, we point out the link
between the phenomenon and the realization of topological, quantum computation.
Keywords:
Topology, Anyons, Quantum computation, Emergent, Excitations
