 Scientific Program & Lecture Notes
Andreas Lauchli (Universität Innsbruck Institut für Theoretische Physik)
"Computational Approaches to Quantum Many Body Systems"
Topics:
 Exact Diagonalization and applications
 DMRG/Tensor Network Methods and applications
 (Quantum) Monte Carlo Methods and applications
Giuseppe Mussardo (SISSATrieste)
"Introduction to Anyon Systems”
Topics:
 Spinstatistics
 Braid group
 Rules of the game
(a) Fusion rules
(b) Associatity: Fmatrix
(c) Braiding
 Quantum dimensions
 Topological computation
Xin Wan (Zhejiang Institute of Modern Physics)
“Anyons and quantum computation in quantum Hall systems”
Topics:
 2D electron gas, FQHE and anyons
 FQH wavefunctions and CFT
 MooreRead state and experiments
 TQFT and quantum computation
Kwek Leong Chuan (Centre for Quantum Technology, Singapore)
“Entanglement Theory”
Topics:
 What is a qubit?
 Density matrix formalism
 Pure and mixed states
 Entangled states; what is entanglement?
 Measures of bipartite entanglement
 Bell inequalities
 Entanglement witnesses
 Multipartitie entanglement
 Topological entanglement
 Recent advances in entanglement (if I have the time)
Daniel Nagaj (Faculty of Physics, Wien)
“ Introduction to Quantum Computing”
Topics:
 Quantum computing: how and what can one do with unitaries
 Entanglement and correlations: are they strange, are they useful?
 Quantum error correction codes: basic tools to fight decoherence
 Elementary quantum algorithms: what is QC good for/intro to complexity
Andreas W.W. Ludwig (University of California, Santa Barbara)
“Aspects of Topological Phases“
Topics:
 Interactions between NonAbelian Anyons – Analogies with Quantum Magnetism
 Interactions in Onedimensional Systems – Exact Solution
 Reinterpretation of Onedimensional case  broader significance, and higher dimensions
 Introduction to Topological Insulators and Superconductors, and to their Classification (if time permits)
Lecture Notes
