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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:C17037 - PSI 2017/2018 - Quantum Theory (Emerson)PODCAST Subscribe to podcast

PSI 2017/2018 - Quantum Theory (Emerson)

Organizer(s): Joseph Emerson  

Collection URL: http://pirsa.org/C17037


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PIRSA:17090034  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 1
Speaker(s): Joseph Emerson
Abstract:  Motivations, Postulate 1 (Ideal preparations), Hilbert space. Articles mentioned by Joseph: L. Hardy's article (2011) on physical principles that imply mathematical axioms; Howard et al (2014) on Contextuality and quantum computing; Schrödinger... read more
Date: 05/09/2017 - 10:45 am

PIRSA:17090035  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 2
Speaker(s): Joseph Emerson
Abstract:

 Notion of dual space - Riesz' theorem; Examples of Hilbert spaces; Postulate 2 - Born's rule; Postulate 3 - The von Neumann eq (global phase = gauge symmetry). 

Date: 08/09/2017 - 9:00 am

PIRSA:17090036  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 3
Speaker(s): Joseph Emerson
Abstract:

Open question for deriving Quantum vs Classical Mechanics; 2-level systems ("Quantum Bit") - Quantum vs Classical rotations; State update rule - Luder's Rule (post-selected scenario vs non-post-selected scenario).

Date: 08/09/2017 - 10:45 am

PIRSA:17090037  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 4
Speaker(s): Joseph Emerson
Abstract:

Sequential Measurements and state update rule - Mathematical rules - Non-rank 1 projector - Degenerate vs non-degenerate measurement operationally.

Date: 11/09/2017 - 9:00 am

PIRSA:17090038  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 5
Speaker(s): Joseph Emerson
Abstract:

Meaning of labels; state up-date rule as a consequence of postulates; state up-date rule classically - Kochen-Specker model of qubit. Some additional references on the Kochen Specker model: Part IIChap. D part 3.

Date: 11/09/2017 - 10:45 am

PIRSA:17090039  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 6
Speaker(s): Joseph Emerson
Abstract:

Composite Quantum Systems - Examples and basic mathematical properties; Entanglement - Schmidt decomposition/Schmidt number; Infinite dimensional Hilbert space and unbounded operators - Dirac's approach vs von Neumann's approach. 

Date: 12/09/2017 - 10:45 am

PIRSA:17090040  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 7
Speaker(s): Joseph Emerson
Abstract: Infinite Dimensional Systems -  Dirac's approach vs von Neumann's approach; Operational Postulates for open (real-world) quantum systems: probabilistic mixtures of pure states vs Partial description of composite system (partial trace, reduced state) - Operational postulate 1.&n... read more
Date: 13/09/2017 - 10:45 am

PIRSA:17090041  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 8
Speaker(s): Joseph Emerson
Abstract:

Real-world quantum systems description - Pure state vs Mixed states - Purification of Mixed States; Generalized measurement - Mixtures of "ideal measurement" - Ideal measurement of a composite system - POVMs.

Date: 14/09/2017 - 10:45 am

PIRSA:17090042  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 9
Speaker(s): Joseph Emerson
Abstract:

Theory of Quantum Measurement - Von Neuman inderect measurement model - Inconsistency btw result obtained from Schrödinger eq and from State update rule - Stern-Gerlach example. 

Date: 15/09/2017 - 10:45 am

PIRSA:17090043  ( MP4 Medium Res , MP3 , PDF ) Which Format?
PSI 2017/2018 - Quantum Theory - Lecture 10
Speaker(s): Joseph Emerson
Abstract:

Generalized Measurement: Mathematical structure - POVM - Postulate 2 (Discrete case) - POVM Continuous case - Postulate 2 (Continuous case) - Example: Trine POVM measurement - Naimark/Neumark's dilation theorem - Generalized transformations: Postulate 3.

Date: 18/09/2017 - 10:45 am

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