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Table of Contents
Supervisor's Foreword; Abstract; Acknowledgments; Contents; 1 Preamble; 1.1 Motivation; 1.2 Outline; References; 2 Introduction and Theoretical Background; 2.1 Preamble; 2.2 Light as Electromagnetic Waves; 2.2.1 Paraxial Wave Equation; 2.2.2 Transverse Spatial Modes; 2.2.3 Polarization; 2.2.4 Optical Angular Momentum; 2.2.5 Vector Beam Families; 2.3 Photons as Quantum Systems; 2.3.1 Quantum States; 2.3.2 Ways to Encode Photonic Quantum Information; 2.4 Tests of Quantum Entanglement; 2.4.1 Entanglement Witness; 2.4.2 Steering-Inequality; 2.4.3 Bell-CHSH-Inequality; References.
3 Entanglement of High Angular Momenta3.1 Preamble; 3.1.1 Liquid Crystal Spatial Light Modulator; 3.2 Coherent Transfer of Polarization to Transverse Spatial Modes; 3.3 Source of Polarization Entanglement; 3.3.1 Photon Pairs from Down Conversion Processes; 3.3.2 Sagnac-Type Source of Polarization Entanglement; 3.3.3 Characterization of the Polarization Entanglement; 3.4 Creation of High Angular Momenta Entanglement; 3.4.1 Prospects of High Angular Momenta Entanglement; 3.4.2 Limitations of Previous Experiments; 3.4.3 Setup of High Angular Momenta Entanglement.
3.5 Measurement of High Angular Momenta Entanglement3.5.1 Slit-Wheel for Measuring OAM States; 3.5.2 Measurements of Entanglement of High OAM Quanta; 3.5.3 Enhancement of Angular Sensitivity; References; 4 Coincidence Imaging of Spatial Mode Entanglement; 4.1 Preamble; 4.1.1 Intensified CCD Cameras; 4.2 Triggered Coincidence-Imaging of Hybrid Entanglement; 4.2.1 Transverse Spatial Photon Counting in Coincidence Images; 4.2.2 Evaluating Photon Numbers from Coincidence Intensity Images; 4.3 Witnessing Entanglement in Coincidence Images of LG Modes.
4.3.1 Triggered Coincidence-Imaging of the Bloch Sphere for LG Modes4.3.2 Hybrid-Entanglement of Polarization and Higher-Order LG Modes; 4.4 Coincidence-Imaging of Various Mode Families; References; 5 Entanglement of Complex Photon Polarization Patterns in Vector Beams; 5.1 Preamble; 5.1.1 Experimental Generation of Vector Beams; 5.1.2 Measurement of the Polarization State of Light; 5.2 Hybrid-Entanglement of Polarization and Vector Beams; 5.2.1 Transverse Polarization Tomography Using Coincidence Images; 5.2.2 Remote Preparation of Single-Photon Vector Beams.
5.3 Entanglement of Complex Polarization Patterns in Vector Photons5.3.1 Direct Visualization of Different Strength of Entanglement Tests; 5.3.2 Comparison of Entanglement Patterns in Different Vector Photons; References; 6 Conclusion and Outlook; 6.1 Conclusion and Summarizing Remarks; 6.2 Outlook; References; Appendix ATheoretical Formalism of the Slit-WheelMeasurement; Curriculum Vitae.
3 Entanglement of High Angular Momenta3.1 Preamble; 3.1.1 Liquid Crystal Spatial Light Modulator; 3.2 Coherent Transfer of Polarization to Transverse Spatial Modes; 3.3 Source of Polarization Entanglement; 3.3.1 Photon Pairs from Down Conversion Processes; 3.3.2 Sagnac-Type Source of Polarization Entanglement; 3.3.3 Characterization of the Polarization Entanglement; 3.4 Creation of High Angular Momenta Entanglement; 3.4.1 Prospects of High Angular Momenta Entanglement; 3.4.2 Limitations of Previous Experiments; 3.4.3 Setup of High Angular Momenta Entanglement.
3.5 Measurement of High Angular Momenta Entanglement3.5.1 Slit-Wheel for Measuring OAM States; 3.5.2 Measurements of Entanglement of High OAM Quanta; 3.5.3 Enhancement of Angular Sensitivity; References; 4 Coincidence Imaging of Spatial Mode Entanglement; 4.1 Preamble; 4.1.1 Intensified CCD Cameras; 4.2 Triggered Coincidence-Imaging of Hybrid Entanglement; 4.2.1 Transverse Spatial Photon Counting in Coincidence Images; 4.2.2 Evaluating Photon Numbers from Coincidence Intensity Images; 4.3 Witnessing Entanglement in Coincidence Images of LG Modes.
4.3.1 Triggered Coincidence-Imaging of the Bloch Sphere for LG Modes4.3.2 Hybrid-Entanglement of Polarization and Higher-Order LG Modes; 4.4 Coincidence-Imaging of Various Mode Families; References; 5 Entanglement of Complex Photon Polarization Patterns in Vector Beams; 5.1 Preamble; 5.1.1 Experimental Generation of Vector Beams; 5.1.2 Measurement of the Polarization State of Light; 5.2 Hybrid-Entanglement of Polarization and Vector Beams; 5.2.1 Transverse Polarization Tomography Using Coincidence Images; 5.2.2 Remote Preparation of Single-Photon Vector Beams.
5.3 Entanglement of Complex Polarization Patterns in Vector Photons5.3.1 Direct Visualization of Different Strength of Entanglement Tests; 5.3.2 Comparison of Entanglement Patterns in Different Vector Photons; References; 6 Conclusion and Outlook; 6.1 Conclusion and Summarizing Remarks; 6.2 Outlook; References; Appendix ATheoretical Formalism of the Slit-WheelMeasurement; Curriculum Vitae.