Advances in Imaging and Electron Physics

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Front Cover -- Advances in Imaging and Electron Physics -- Copyright -- Contents -- Contributors -- Preface -- Future Contributions -- Chapter One: Quantum Entanglement in Photon-Induced Electron Spectroscopy of Atoms and Molecules: Its Generation, Charact ... -- 1. Introduction -- 2. Basics of Quantum Information -- 2.1. Information -- 2.2. Qubits and Qudits -- 2.3. Quantum Entanglement, Its Characterization, and Applications -- 2.3.1. Quantum Entanglement -- 2.3.2. Interpretation of Quantum Entanglement-EPR Paradox, Bell´s Inequalities -- 2.3.3. Characterization of Quantum Entanglement -- 2.3.3.1. Detection of Entanglement -- 2.3.3.1.1. Method Based on Bell´s Inequality -- 2.3.3.1.2. Schmidt Decomposition -- 2.3.3.1.3. Peres-Horodecki Criterion -- 2.3.3.2. Quantification of Entanglement-Entanglement Measures -- 2.3.3.2.1. von Neumann Entropy -- 2.3.3.2.2. Negativity -- 2.3.3.2.3. Concurrence -- 2.3.3.2.4. Entanglement of Formation εF(ρ) -- 2.4. Types of Quantum Entanglement: Free and Bound Entanglement -- 2.5. Applications of Quantum Entanglement -- 2.5.1. Dense Coding -- 2.5.2. Quantum Cryptography -- 2.5.3. Quantum Teleportation -- 2.5.4. Quantum Computation -- 2.5.5. Other Applications of Entanglement -- 3. Entanglement in Electron Optics of Atoms -- 3.1. Coulombic Entanglement -- 3.1.1. Bipartite Entanglement -- 3.1.1.1. Entanglement Between Two Electronic Qubits -- 3.1.1.1.1. Two Photoelectrons -- Coulombic Density Matrix for 1-DPI -- Properties of the Coulombic Entanglement in 1-DPI -- 3.1.1.1.2. A Photoelectron and an Auger Electron -- Coulombic Density Matrix for 2-DPI -- Properties of the Coulombic Entanglement in 2-DPI -- 3.1.1.2. Coulombic, Hybrid Entanglement -- 3.1.1.2.1. A Photoelectron and a Photoion -- Coulombic Density Matrix for 1-SPI -- Properties of the Coulombic Entanglement in 1-SPI

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