Quantum Information Science

  1. Advanced Topics and Theoretical Foundations
    1. Advanced Quantum Information Theory
      1. Entropy and Information Measures
        1. Von Neumann Entropy
          1. Definition and Properties
            1. Subadditivity
              1. Strong Subadditivity
              2. Quantum Relative Entropy
                1. Kullback-Leibler Divergence
                  1. Monotonicity
                    1. Data Processing Inequality
                    2. Quantum Mutual Information
                      1. Bipartite Correlations
                        1. Conditional Mutual Information
                          1. Multipartite Information
                          2. Other Information Measures
                            1. Rényi Entropies
                              1. Min and Max Entropies
                                1. Smooth Entropies
                              2. Quantum Channels and Maps
                                1. Complete Positivity
                                  1. Trace Preservation
                                    1. Kraus Decomposition
                                      1. Environmental Models
                                      2. Quantum Capacity Theory
                                        1. Holevo's Theorem
                                          1. Accessible Information
                                            1. Classical Communication
                                            2. Quantum Capacity
                                              1. Coherent Information
                                                1. Additivity Problems
                                                2. Private and Secret Key Capacities
                                              2. Quantum Resource Theories
                                                1. General Framework
                                                  1. Free Operations
                                                    1. Resource Measures
                                                      1. Resource Conversion
                                                        1. Asymptotic and Single-Shot Regimes
                                                        2. Entanglement Theory
                                                          1. Entanglement Measures
                                                            1. Entanglement Distillation
                                                              1. Entanglement Cost
                                                                1. LOCC Operations
                                                                2. Coherence Theory
                                                                  1. Coherence Measures
                                                                    1. Incoherent Operations
                                                                      1. Coherence Distillation
                                                                        1. Applications to Thermodynamics
                                                                        2. Other Resource Theories
                                                                          1. Asymmetry and Reference Frames
                                                                            1. Non-Gaussianity
                                                                              1. Magic States
                                                                                1. Quantum Memories
                                                                              2. Quantum Foundations and Interpretations
                                                                                1. Measurement Problem
                                                                                  1. Quantum-to-Classical Transition
                                                                                    1. Decoherence Theory
                                                                                      1. Environmental Monitoring
                                                                                      2. Quantum Interpretations
                                                                                        1. Copenhagen Interpretation
                                                                                          1. Many-Worlds Interpretation
                                                                                            1. Hidden Variable Theories
                                                                                              1. Consistent Histories
                                                                                              2. Quantum Contextuality
                                                                                                1. Kochen-Specker Theorem
                                                                                                  1. Contextuality Inequalities
                                                                                                    1. Applications to Computation
                                                                                                    2. Quantum Nonlocality
                                                                                                      1. Bell Inequalities
                                                                                                        1. Nonlocal Games
                                                                                                          1. Device-Independent Protocols
                                                                                                        2. Quantum Simulation
                                                                                                          1. Theoretical Framework
                                                                                                            1. Hamiltonian Simulation
                                                                                                              1. Complexity of Simulation
                                                                                                                1. Simulation Algorithms
                                                                                                                2. Digital Quantum Simulation
                                                                                                                  1. Trotterization Methods
                                                                                                                    1. Higher-Order Decompositions
                                                                                                                      1. Error Analysis
                                                                                                                        1. Gate-Based Implementation
                                                                                                                        2. Analog Quantum Simulation
                                                                                                                          1. Physical Emulation
                                                                                                                            1. Cold Atoms in Optical Lattices
                                                                                                                              1. Trapped Ion Simulators
                                                                                                                                1. Superconducting Circuits
                                                                                                                                2. Applications
                                                                                                                                  1. Quantum Chemistry
                                                                                                                                    1. Molecular Electronic Structure
                                                                                                                                      1. Chemical Reaction Dynamics
                                                                                                                                        1. Catalyst Design
                                                                                                                                        2. Condensed Matter Physics
                                                                                                                                          1. Many-Body Localization
                                                                                                                                            1. Quantum Phase Transitions
                                                                                                                                              1. Topological Phases
                                                                                                                                              2. High Energy Physics
                                                                                                                                                1. Lattice Gauge Theories
                                                                                                                                                  1. Quantum Field Theory
                                                                                                                                                    1. Black Hole Physics
                                                                                                                                                2. Connections to Other Fields
                                                                                                                                                  1. Quantum Thermodynamics
                                                                                                                                                    1. Quantum Heat Engines
                                                                                                                                                      1. Quantum Refrigerators
                                                                                                                                                        1. Work and Heat in Quantum Systems
                                                                                                                                                          1. Fluctuation Theorems
                                                                                                                                                            1. Maxwell's Demon
                                                                                                                                                            2. Quantum Machine Learning
                                                                                                                                                              1. Quantum Data Encoding
                                                                                                                                                                1. Variational Quantum Classifiers
                                                                                                                                                                  1. Quantum Neural Networks
                                                                                                                                                                    1. Quantum Advantage in Learning
                                                                                                                                                                      1. Quantum-Enhanced Optimization
                                                                                                                                                                      2. Quantum Biology
                                                                                                                                                                        1. Quantum Effects in Biological Systems
                                                                                                                                                                          1. Photosynthesis
                                                                                                                                                                            1. Avian Navigation
                                                                                                                                                                              1. Enzyme Catalysis
                                                                                                                                                                              2. Quantum Gravity and Cosmology
                                                                                                                                                                                1. Black Hole Information Paradox
                                                                                                                                                                                  1. Hawking Radiation
                                                                                                                                                                                    1. Holographic Principle
                                                                                                                                                                                      1. Quantum Cosmology
                                                                                                                                                                                        1. Emergent Spacetime
                                                                                                                                                                                        2. Condensed Matter Connections
                                                                                                                                                                                          1. Topological Quantum Computing
                                                                                                                                                                                            1. Quantum Hall Effect
                                                                                                                                                                                              1. Superconductivity
                                                                                                                                                                                                1. Quantum Magnetism
                                                                                                                                                                                                  1. Strongly Correlated Systems

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                                                                                                                                                                                              5. Quantum Sensing and Metrology

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                                                                                                                                                                                              1. Foundations of Quantum Information Science