SDP slides
Slides are forthcoming. Topics are below.Â
Comments are welcome!
Part 1: Semidefinite programming
Mathematical background
Positive semidefinite matrices
Real Analysis
Convex analysis
Semidefinite programming introduction
Standard form reductions and real vs. complex data
Duality theory
The dual of the dual
Lifehack: How to really take the dual
Slater's theorem and optimality conditions
Clark's theorem and ascent directions
Part 2: Quantum applications
Quantum states and measurements
Distinguishing between two states and the trace norm
Optimal measurements
Uhlmann's Theorem and Alberti's Theorem are dual
The completely bounded trace norm and properties of the fidelity function
Operator geometric means
Quantum entropy functions
Quantum nonlocal games
Quantum money