P vs NP: Complexity TheoryDelves into complexity theory, focusing on the P vs NP problem and the classification of computational problems based on efficiency.
Computation with Tensor NetworksExplores computation with tensor networks, covering joint probability distributions, statistical mechanics, and quantum computation applications.
Statistical Field TheoryCovers the basics of statistical field theory, focusing on Ising models and the Ginsburg-Landau theory.
Belief propagation simplificationExplores simplifying belief propagation equations for pairwise models, reducing computational complexity from order n cubed to order n.
Dynamic Programming: KnapsackExplores dynamic programming for the Knapsack problem, discussing strategies, algorithms, NP-hardness, and time complexity analysis.
Quantum Phase EstimationExplains the Quantum Phase Estimation (QPE) algorithm and its complexity using two registers and SWAP gates.