DRP

Please send me an email if you want to work with me.

My expectation is to use at least 4 hours a week for reading by yourself, and we will have 1-hour weekly meeting except the exam weeks. Here are some suggestions and references.

1. Quantum Computing ZX Calculus

• References:

  • Introduction to Quantum Computing by Kaye, Laflamme, Mosca 

  • Quantum Computation and Quantum Information by Nielsen, Chuang

2. Higher Algebra Cobordism Hypothesis

• References:

  • On the Classification of Topological Field Theories, Lurie 

3. Applied Math Grokking

• Grokking in machine interpretability is a phenomenon where a machine learning model, after a long period of simply memorizing the training data, suddenly and rapidly generalizes to understand the underlying patterns and perform well on new, unseen data.

• References: Grokking 

TBD

TBD

The Toric Code, Homology and Qubits with Parsa Pourghasem

We read M. Nakahara’s Geometry, Topology and Physics to learn the mathematical language commonly used in mathematical physics, and A. Yu. Kitaev’s paper Fault-tolerant quantum computation by anyons (Annals of Physics, 303(1):2–30, January 2003) to study the toric code.