Modern Quantum Theory: From Quantum Mechanics to Entanglement and Quantum Information

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Prof Reinhold Bertlmann (Professor of Physics, Professor of Physics, University of Vienna) Dr Nicolai Friis (Senior Postdoctoral Fellow, Senior Postdoctoral Fellow, Atominstitut, TU Wien)

Modern Quantum Theory

From Quantum Mechanics to Entanglement and Quantum Information

Prof Reinhold Bertlmann (Professor of Physics, Professor of Physics, University of Vienna), Dr Nicolai Friis (Senior Postdoctoral Fellow, Senior Postdoctoral Fellow, Atominstitut, TU Wien)

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English

Oxford University Press
22 November 2023

In the last few decades quantum theory has experienced an extensive revival owing to the rapid development of quantum information and quantum technologies. Based on a series of courses taught by the authors, the book takes the reader on a journey from the beginnings of quantum theory in the early twentieth century to the realm of quantum-information processing in the twenty-first. The central aim of this textbook, therefore, is to offer a detailed introduction to quantum theory that covers both physical and information-theoretic aspects, with a particular focus on the concept of entanglement and its characteristics, variants, and applications. Suitable for undergraduate students in physics and related subjects who encounter quantum mechanics for the first time, this book also serves as a resource for graduate students who want to engage with more advanced topics, offering a collection of derivations, proofs, technical methods, and references for graduate students and more experienced readers engaged with teaching and active research.

The book is divided into three parts: Part I - Quantum Mechanics, Part II - Entanglement and Non-Locality, and Part III - Advanced Topics in Modern Quantum Physics. Part I provides a modern view on quantum mechanics, a central topic of theoretical physics. Part II is dedicated to the foundations of quantum mechanics and entanglement: starting with density operators, hidden-variable theories, the Einstein-Podolsky-Rosen Paradox, and Bell Inequalities, but also touching upon philosophical questions, followed by a deeper study of entanglement-based quantum communication protocols like teleportation, before giving a detailed exposition of entanglement theory, including tools for the detection and quantification of entanglement. Part III is intended as a collection of standalone chapters to supplement the contents of Parts I and II, covering more advanced topics such as classical and quantum entropies, quantum operations and measurements, decoherence, quantum metrology and quantum optics, and entanglement in particle physics.

By: Prof Reinhold Bertlmann (Professor of Physics Professor of Physics University of Vienna), Dr Nicolai Friis (Senior Postdoctoral Fellow, Senior Postdoctoral Fellow, Atominstitut, TU Wien)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 253mm, Width: 177mm, Spine: 54mm
Weight: 2g
ISBN: 9780199683338
ISBN 10: 0199683336
Pages: 1040
Publication Date: 22 November 2023
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

PART I - QUANTUM MECHANICS 1: Wave-Particle Duality 2: The Time-Dependent Schrödinger Equation 3: Mathematical Formalism of Quantum Mechanics 4: The Time-Independent Schrödinger Equation 5: The Quantum Harmonic Oscillator 6: Orbital Angular Momentum 7: The Three-Dimensional Schrödinger Equation 8: Spin and Atomic Structure 9: Electromagnetism in Quantum Mechanics 10: Perturbative Methods in Quantum Mechanics PART II - ENTANGLEMENT AND NON-LOCALITY 11: Density Matrices 12: Hidden-Variable Theories 13: Bell Inequalities 14: Quantum Teleportation 15: Entanglement and Separability 16: Quantification and Conversion of Entanglement 17: High-Dimensional Quantum Systems 18: Multipartite Entanglement PART III - ADVANCED TOPICS IN MODERN QUANTUM PHYSICS 19: Entropy of Classical Systems 20: Quantum Entropy and Correlations in Quantum Information 21: Quantum Channels and Quantum Operations 22: Open Quantum Systems, Decoherence, Atom-Field Coupling 23: Quantum Measurements 24: Quantum Metrology 25: Quantum States of Light 26: Particle Physics - Bell Inequalities 27: Particle Physics - Entanglement & Decoherence Free

Reinhold Bertlmann is a professor of physics at the University of Vienna. He studied technical physics at TU Wien and theoretical physics at the University of Vienna, obtaining his PhD in 1974. He then worked as a researcher in Vienna, at the JINR in Dubna, and at CERN. After his habilitation in theoretical physics in Vienna in 1981 he held visiting professorships in Marseille, at the University Paris-Sud and at the CNRS. From 1987 until his retirement in 2010 he was university professor at the University of Vienna, where he still teaches. Nicolai Friis studied physics at the University of Vienna and completed his diploma thesis under Reinhold Bertlmann's supervision in 2010. He then went on to study at the University of Nottingham, obtaining his PhD in 2013. From 2013 to 2017 he worked as a postdoctoral researcher in Innsbruck at the Institute for Quantum Optics and Quantum Information (IQOQI) and at the University of Innsbruck. In 2017 he moved back to Vienna as a Senior Postdoc at IQOQI Vienna. After his habilitation in theoretical physics in 2022, he started working at the Institute of Atomic and Subatomic Physics of TU Wien. He is the winner of the Václav Votruba Prize for best doctoral thesis in theoretical physics, awarded by the Doppler Institute for Mathematical Physics and Applied Mathematics in Prague, Czech Republic.