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PROGRAM

• Nilanjana Datta: Role of entropies in quantum communication | part 1 | part 2 | part 3 | problems |
• Konrad Banaszek: Introduction to quantum optics
• Mark Hillery: Quantum nonlinear optics
• Daniel Nagaj: Quantum walks: searching, scattering and computing | problems |
  The goal of this lecture series is to get a basic grasp of coined, scattering and continuous-time quantum walks, and how they can be used for algorithmic purposes (search, graph traversal, game evaluation). We will conclude with the results about universality of quantum computation by quantum walk.
• Reinhard Werner: Quantum walks
  After some basic examples I will give a classification of one-dimensional quantum walks by their local implementability and homotopy equivalence, summarized in a single number, the index. I will then look at the asymptotic behavior of translation invariant walks, and describe how this is modified by local defects and different types of decoherence. A particular kind of non-translation invariant perturbation is turning on an electric field, and I will show an extreme sensitivity of the asymptotic behavior on the field parameter. I will then turn to the classification of walks with discrete symmetries resulting in a new kind of index theory proving so-called bulk-edge correspondence of topological phases.
• Otfried Guehne: Characterizing Quantum Entanglement
• Ben Reichardt: Quantum error-correction methods | part 1 | part 2 |
• Norbert Schuch: Quantum Entanglement in Many-Body Systems
  In this lecture, I will discuss realistic quantum many-body systems. I will explain why their entanglement properties make them very special, and how this can help us to understand and simulate these systems.
• Renato Renner: Quantum thermodynamics
• Roger Colbeck: Quantum cryptography

supported by QUTE-EUROPE