This course will cover the basics of Quantum Foundations under three main headings. Part I – Novel effects in Quantum Theory. A number of interesting quantum effects will be considered. (a) Interferometers: MachZehnder interferometer, ElitzurVaidman bomb tester, (b) The quantumZeno effect. (c) The no cloning theorem. (d) Quantum optics (single mode). HongOuMandel dip. Part II Conceptual and interpretational issues. (a) Axioms for quantum theory for pure states. (b) VonNeumann measurement model. * (c) The measurement (or reality) problem. (d) EPR Einstein’s 1927 remarks, the EinsteinPodolskyRosen argument. (e) Bell’s theorem, nonlocality without inequalities. The Tirolson bound. (f) The KochenSpecker theorem and related work by Spekkens (g) On the reality of the wavefunction: Epistemic versus ontic interpretations of the wavefunction and the PuseyBarrettRudolph theorem proving the reality of the wave function. (h) Gleason’s theorem. (i) Interpretations. The landscape of interpretations of quantum theory (the Harrigen Spekkens classification). The de BroglieBohm interpretation, the many worlds interpretation, wavefunction collapse models, the Copenhagen interpretation, and QBism. Part III Structural issues. (a) Reformulating quantum theory: I will look at some reformulations of quantum theory and consider the light they throw on the structure of quantum theory. These may include time symmetric quantum theory and weak measurements (Aharonov et al), quantum Bayesian networks, and the operator tensor formalism. (b) Generalised probability theories: These are more general frameworks for probabilistic theories which admit classical and quantum as special cases. (c) Reasonable principles for quantum theory: I will review some of the recent work on reconstructing quantum theory from simple principles. (d) Indefinite causal structure and indefinite causal order. Finally I will conclude by looking at (i) the close link between quantum foundations and quantum information and (ii) possible future directions in quantum gravity motivated by ideas from quantum foundations.
Format results

Quantum Foundations Lecture  230109
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010046 
Quantum Foundations Lecture  230111
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010047 
Quantum Foundations Lecture  230116
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010049 
Quantum Foundations Lecture  230118
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010050 
Quantum Foundations Lecture  230119
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010048 
Quantum Foundations Lecture  230120
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010051 
Quantum Foundations Lecture  230123
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010052 
Quantum Foundations Lecture  230125
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010053 
Quantum Foundations Lecture  230127
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010054 
Quantum Foundations Lecture  230130
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23010055 
Quantum Foundations Lecture  230102
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23020015 
Quantum Foundations Lecture  230203
Lucien Hardy Perimeter Institute for Theoretical Physics
PIRSA:23020016