Lectures on Quantum Information

Dagmar Bruß graduated at RWTH University Aachen, Germany, and received her PhD in theoretical particle physics from the University of Heidelberg in 1994. As a research fellow at the University of Oxford she started to work in quantum information theory. Another fellowship at ISI Torino, Italy, followed. While being a research assistant at the University of Hannover she completed her habilitation. Since 2004 Professor Bruß has been holding a chair at the Institute of Theoretical Physics at the Heinrich-Heine-University Düsseldorf, Germany. Gerd Leuchs studied physics and mathematics at the University of Cologne, Germany, and received his Ph.D. in 1978. After two research visits at the University of Colorado in Boulder, USA, he headed the German gravitational wave detection group from 1985 to 1989. He became technical director at Nanomach AG in Switzerland. Since 1994 Professor Leuchs has been holding the chair for optics at the Friedrich-Alexander-University of Erlangen-Nuremberg, Germany. His fields of research span the range from modern aspects of classical optics to quantum optics and quantum information. Since 2003 he has been Director of the Max Planck Research Group for Optics, Information and Photonics at Erlangen.

1. Classical Information Theory
- Classical Information Theory and Classical Error Correction (M. Grassl)
- Computational Complexity (S.Mertens)
2. Foundations of Quantum Information Theory
- Discrete Quantum States versus Continuous Variables (J. Eisert)
- Approximate Quantum Cloning (D. Bruss, C. Macchiavello)
- Channels and Maps (M. Keyl, R. Werner)
- Quantum Algorithms (J. Kempe)
- Quantum Error Correction (M. Grassl)
3. Theory of Entanglement
- The Seperability versus Eentanglement Problem (A. Sen (De), U. Sen, M. Lewenstein, A. Sanpera)
- Entanglement Theory with Continuous Vvariables (P. van Loock)
- Entanglement Measures (M. Plenio, S. Virmani)
- Purifiaction and Distillation (H.-J. Briegel, W. Dürr)
- Bound Entanglement (P. Horodecki)
- Multi-Particle Entanglement (J. Eisert, D. Gross)
4. Quantum Communication
- Teleportation (L. C. Davila Romero, N. Korolkova)
- Quantum Communication Experiments with Discrete Variables (H. Weinfurter)
- Continuous Variable Quantum Communication (U. L. Andersen, G. Leuchs)
5. Quantum Computing: Concepts
- Requirements for a Quantum Computer (A. Ekert, A. Kay)
- Probabilitistic Quantum Cumputation and Linear Optical Realization (N. Lütkenhaus)
- One-way Quantum Computation ( D. E. Browne, H.-J. Briegel)
- Holonomic Quantum Computing (A. C. M. Carollo, V. Vedral)
6. Quantum Computing: Implementations
- Quantum Computing with Cold Ions and Atoms: Theory (D. Jaksch, J. J. Garca-Ripoll, J. I. Cirac, P. Zoller)
- Quantum Computing with Cold Ions and Atoms: Experiments with Ion Traps (F. Schmidt-Kaler)
- Quantum Computing with Solid State Systems ( G. Burkart, D. Loss)
- Quantum Computing Implemented via Optimal Control: Theory and Application to Spin and Pseudo-Spin Systems (T. Schulte-Herbrüggen, A. K. Spörl, R. Marx, N. Khaneja, J. M. Myers, A. F. Fahmy, S. J. Glaser)
7. Transfer of Quantum Information between Different Types of Implementations
- Quantum Repeater (W. Dür, H.-J. Briegel, P. Zoller)
- Quantum Interface between Light and Atomic Ensembles (E. S. Polzik, J. Fiurasek)
- Cavity Quantum Electrodynamics: Quantum Information Processing with Atoms and Photons (J.-M. Raimond, G. Rempe)
- Quantum Electrodynamics of a Qubit (G. Alber, G. M. Nikolopoulos)
8. Towards Quantum Technology Applications
- Quantum Interferometry (O. Göckl, U. L. Andersen, G. Leuchs)
- Quantum Imaging (C. Fabre, N. Treps)