Lecture on correlated electron system and quantum computation
By: Saeed S. Jahromi
Physics Department, K.N.Toosi University of Technology
Monday, 10 June 2013
Abstract: Error corrections and fault tolerance are some of the main challenges of quantum computation. The correct transmission of quantum information might be hampered by quantum errors such as bit flip, phase flip and decoherence. In the past decades, several error correction methods have been proposed which enable us to detect and correct quantum errors. However, a more reliable method of doing quantum computation is to code the information in the state of a quantum system which is intrinsically protected and robust against local errors. It has been shown that systems with anyonic quasi-particle excitations are topologically protected against local errors and are a very good candidate for fault tolerant quantum computation.
This brief talk covers some introductory concepts about quantum computation, introduces the Anyon quasi-particles and enumerates some of their characteristics which are used in fault tolerant quantum computation. In addition, two model Hamiltonians, Toric Code and Topological Color Code, which have anyonic excitations, will be introduced.
Keyword: Fault tolerance, Anyon, Toric Code, Topological Color Code