Quantum Theory An Information Processing Approach

by Rau, Jochen

• ISBN13: 9780192896315
• ISBN10: 0192896318
• Format: Paperback
• Copyright: 2021-07-26
• Publisher: Oxford University Press

Author Biography

Jochen Rau, Professor of Mathematics, RheinMain University of Applied Sciences

Jochen Rau received degrees in physics and mathematics from Goethe University Frankfurt, University of Cambridge, and Duke University, and did postdoctoral research at Max Planck Institutes in Heidelberg and Dresden, at the European Centre for Theoretical Studies in Nuclear Physics and Related Areas, as well as at the Technical University of Darmstadt. He has taught theoretical physics at Goethe University Frankfurt and Ulm University, and is currently professor of mathematics at RheinMain University of Applied Sciences.

Table of Contents

1. Introduction
1.1. Some Experimental Evidence
1.2. Logic
1.3. Probability
Chapter Summary
Exercises
2. Reasoning About Measurements
2.1. Testable Propositions
2.2. Reachable States
2.3. Maximal Knowledge
2.4. The Operations AND and OR
2.5. Composition
2.6. Exchangeable Assemblies
2.7. Measuring a State
2.8. Preparing a State
Chapter Summary
Further Reading
Exercises
3. Probability in Hilbert Space
3.1. Linear Algebra in a Nutshell
3.2. Propositions and States
3.3. Two-Level System
3.4. Observables and Transformations
3.5. Composite Systems
3.6. The Issue of Reality
3.7. Classical Limit
Chapter Summary
Further Reading
Exercises
4. Computation
4.1. Gates and Circuits
4.2. Universality
4.3. Measurement-Based Computation
4.4. Deutsch-Jozsa Algorithm
4.5. Ground States and Classical Optimization
4.6. Simulation
4.7. High-Precision Measurement
Chapter Summary
Further Reading
Exercises
5. Communication
5.1. Classical Information
5.2. Quantum Information
5.3. Cryptography
5.4. Superdense Coding and Teleportation
Chapter Summary
Further Reading
Exercises
References
Index