Q4 · Quantum information theory
A 32-module path through q4 · quantum information theory, in study order from foundations to the frontier.
Modules
- Shannon Entropy and Classical Information Measures
- Von Neumann Entropy
- Quantum Relative Entropy
- Quantum Joint, Conditional Entropy and Mutual Information
- Strong Subadditivity of Quantum Entropy
- Quantum Channels and Completely Positive Trace-Preserving Maps
- Kraus Representation of Quantum Channels
- Stinespring Dilation Theorem
- Choi–Jamiołkowski Isomorphism
- Complementary Channels and Degradability
- Data-Processing Inequality
- Holevo Bound
- Schumacher Quantum Data Compression
- Typical Subspaces and Quantum Asymptotic Equipartition
- Fidelity and the Uhlmann Theorem
- Trace Distance and State Distinguishability
- Fuchs–van de Graaf Inequalities
- Diamond Norm and Channel Distinguishability
- Holevo–Schumacher–Westmoreland Classical Capacity
- Additivity, Superadditivity and Capacity Regularization
- Coherent Information and the LSD Quantum Capacity
- Entanglement-Assisted Channel Capacity
- Private Capacity and Secret-Key Distillation
- Quantum Reverse Shannon Theorem
- Resource Theories Framework
- Resource Theory of Entanglement and Entanglement Measures
- Resource Theory of Coherence
- Resource Theory of Athermality and Quantum Thermodynamics
- Rényi and Sandwiched Rényi Divergences
- Smooth Entropies and One-Shot Information Theory
- Decoupling Theorem
- Petz Recovery Map and Approximate Reversibility