Collection Number C17037
Collection Date -
Collection Type Course
PSI 2017/2018 - Quantum Theory (Emerson)

PSI 2017/2018 - Quantum Theory - Lecture 10

Joseph Emerson Institute for Quantum Computing (IQC)

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.

PSI 2017/2018 - Quantum Theory - Lecture 9

Joseph Emerson Institute for Quantum Computing (IQC)

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

PSI 2017/2018 - Quantum Theory - Lecture 8

Joseph Emerson Institute for Quantum Computing (IQC)

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.

PSI 2017/2018 - Quantum Theory - Lecture 7

Joseph Emerson Institute for Quantum Computing (IQC)

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. 

PSI 2017/2018 - Quantum Theory - Lecture 6

Joseph Emerson Institute for Quantum Computing (IQC)

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.