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| 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 (SISSA-Trieste)
"Introduction to Anyon Systems”
Topics:
- Spin-statistics
- Braid group
- Rules of the game
(a) Fusion rules
(b) Associatity: F-matrix
(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
- Moore-Read 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 Non-Abelian Anyons – Analogies with Quantum Magnetism
- Interactions in One-dimensional Systems – Exact Solution
- Reinterpretation of One-dimensional case - broader significance, and higher dimensions
- Introduction to Topological Insulators and Superconductors, and to their Classification (if time permits)
Lecture Notes
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