Foundations of Quantum Mechanics (Review) - Rob Spekkens
- Lecture 1 - What's the problem? The realist strategy. The quantum measurement problem.
- Lecture 2 - The operational strategy. The most general types of preparations. Density operators.
- Lecture 3 - Operational quantum mechanics. The most general types of measurements. The most general types of transformations.
- Lecture 4 - POVMs. Unambiguous state discrimination. Operational formulation of quantum theory. The church of the larger (smaller) Hilbert space.
- Lecture 5 - A framework for convex operational theories. Operational classical theory. Operational quantum theory. Real vs complex field.
- Lecture 6 - Recasting the "orthodox" interpretation as a realist model. Realism via hidden variables. Psi-ontic vs psi-epistemic models. The Bell-Mermin model. The Kochen-Specker model.
- Lecture 7 - Evidence in favour of psi-epistemic hidden variable models. Restricted Liouville mechanics. Restricted statistical theory of bits.
- Lecture 8 - Bell's theorem. Experimental loopholes. No-signalling.
- Lecture 9 - Non-locality. Bell's definition of local causality. Applications of non-localtiy. Contextuality.
- Lecture 10 - Contextuality in more depth. The traditional definiton of contextuality in quantum theory. Bell-Kochen-Specker theorem. Proofs of noncontextuality. An operational notion of contextuality.
- Lecture 11 - Generalized notions of noncontextuality. Preparation noncontextuality. Operational test of preparation noncontextuality. Connection with nonlocality. Noncontextuality and negativity as notions of classicality.
- Lecture 12 - The deBroglie-Bohm interpretation. The deBroglie-Bohm interpretation for a single particle. Empty waves and occupied waves. The deBroglie-Bohm interpretation for many particles. Effective collapse of the guiding wave.
- Lecture 13 - The deBroglie-Bohm interpretation continued. The "standard distribution" as quantum equilibrium. Contextuality. Criticisms and responses.
- Lecture 14 - Dynamical collapse theories. The Ghirardi-Rimini-Weber model. Constraints on parameters. Criticisms.
- Lecture 15 - The Everett interpretation - "Many Worlds." Preferred basis problem. The problem with probabilities. Comparison to deBroglie-Bohm.
