# Lectures on Quantum Information

1. Edition November 2006

XXIV, 610 Pages, Softcover

151 Pictures*Textbook*

**978-3-527-40527-5**

### Short Description

This comprehensive textbook on the novel and growing field of quantum computing introduces the readers to the fundamental concepts of information theory and quantum entanglement. It then moves on to the state of the art of implementations of quantum computing and communication protocols.

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Quantum Information Processing is a young and rapidly growing field of research at the intersection of physics, mathematics, and computer science. Its ultimate goal is to harness quantum physics to conceive -- and ultimately build -- "quantum" computers that would dramatically overtake the capabilities of today's "classical" computers. One example of the power of a quantum computer is its ability to efficiently find the prime factors of a larger integer, thus shaking the supposedly secure foundations of standard encryption schemes.

This comprehensive textbook on the rapidly advancing field introduces readers to the fundamental concepts of information theory and quantum entanglement, taking into account the current state of research and development. It thus covers all current concepts in quantum computing, both theoretical and experimental, before moving on to the latest implementations of quantum computing and communication protocols. With its series of exercises, this is ideal reading for students and lecturers in physics and informatics, as well as experimental and theoretical physicists, and physicists in industry.

- 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)

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.