JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR: "Fibonacci Anyons and Topological Quantum Computation "

[Statistical Physics Group]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

Tuesday, 7 April 2009   -    12:30 hrs

  				Lecture Room D

SISSA Main Building

Michele BURRELLO

(S.I.S.S.A. - Trieste)

"Fibonacci Anyons and

Topological Quantum Computation"

Abstract

  Topological quantum computation is considered the best proposal to  
overcome local errors in the realization of a quantum computer. In  
this scheme, it is well known that Fibonacci anyons can be used to  
implement the universal quantum computation, allowing to approximate  
with their braidings every single-qubit and two-qubit gate at any  
given accuracy. In this talk we will analyze the key features of  
these non-abelian anyons and of their braiding group; we will study  
the main technics used to achieve the compiling of single-qubit  
gates, focusing our attention on Bonesteel's "brute force" approach  
and on the quantum hashing through the icosahedral group.