Modern quantum theory: from quantum mechanics to entanglement and quantum information/ Reinhold Bertlmann and Nicolai Friis

Includes bibliography and index

Part I Quantum Mechanics -- Wave particle duality -- The time -dependent Schrodinger equation -- Mathematical formalism of quantum mechanics -- The time-independent Schrodinger equation -- The quantum harmonic oscillator -- Orbital angular momentum -- The Three-dimensional Schrodinger equation -- Spin and atomic structure -- Electromagnetism in quantum mechanics -- Perturbative methods in quantum mechanics -- Part II: Entanglement and non-locality -- Density matrices -- Hidden variables theories -- Bell inequalities -- Quantum teleportation -- Entanglement and separability -- Quantification and conversion of entanglement -- High-dimensional quantum systems -- Multipartite entanglement -- Part III : Advanced topics in modern quantum physics -- Entropy of classical systems -- Quantum entropy and correlations in quantum information -- Quantum channels and quantum operations -- Open quantum systems decoherence atom-field coupling -- Quantum measurements -- Quantum metrology -- Quantum states of light -- Particle physics - bell inequalities -- Particle physics - Entanglement and decoherence --

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.