Date |
Topic |
Notes |
Jan. 22 |
Mathematical Models in Theoretical Physics, Classical Probability Theory and Linear Algebra |
Slides 1 |
Jan. 24 |
Generalized Probability Theory, Axioms of Quantum Mechanics |
Slides 2 |
Jan. 29 |
Physical Content and Hamiltonians, Qubits: Observables and Operations |
Slides 3 |
Jan. 31 |
Amplitudes vs Mixtures, Incompatible Measurements, Introduction to Entanglement |
Slides 4 |
Feb. 5 |
Entangling Hamiltonians, Quantum subsystems density matrices, partial trace, Schmidt decomposition |
Slides 5 |
Feb. 7 |
Quantum Channels: Krauss operator-sum representation, depolarizing, dephasing, amplitude-dampening channels |
Slides 6 |
Feb. 14 |
Classical Information Theory Shannon entropy, relative entropy, mutual information
Shannon's paper , Witten's notes |
Slides 7 |
Feb. 19 |
Homework 1: entanglement and correlations, distance between quantum states, quantum channels, capacity and mutual information. Due Date: March 7th, 2019. |
Problem Set |
Feb. 21 |
convex functions, data processing inequalities, correlation functions, von Neumman entropy, quantum mutual information, measurements and entropy
| Slides 8 |