QM10 · Foundations & entanglement
A 30-module path through qm10 · foundations & entanglement, in study order from foundations to the frontier.
Modules
- The Density Operator and Mixed States
- Pure versus Mixed States and the Purity Criterion
- Properties and Time Evolution of the Density Matrix
- The Reduced Density Matrix and Partial Trace
- Quantum Entanglement and Non-Separability
- The Schmidt Decomposition
- Entanglement Entropy and Measures of Entanglement
- The Bell States and Maximally Entangled Pairs
- The EPR Paradox and Local Realism
- Hidden Variable Theories
- Bell's Theorem and the CHSH Inequality
- Experimental Tests and Violation of Bell Inequalities
- The Kochen–Specker Theorem and Contextuality
- The GHZ State and All-or-Nothing Nonlocality
- The Quantum Measurement Problem
- Von Neumann Measurement and the Projection Postulate
- Generalized Measurements and POVMs
- Quantum Decoherence and the Density Matrix
- The Pointer Basis and Environment-Induced Superselection
- Emergence of Classicality from Quantum Mechanics
- Quantum Darwinism
- The Copenhagen Interpretation
- The Many-Worlds Interpretation
- De Broglie–Bohm Pilot Wave Theory
- Objective Collapse Theories
- Consistent Histories Interpretation
- Relational and QBist Interpretations
- The Quantum Zeno and Anti-Zeno Effects
- The Wigner's Friend Thought Experiment
- Quantum Discord and Non-Classical Correlations