notes
Notes on various subjects
Quantum information
Lecture notes for IF Summer School for Young Physicists 2023, Naresuan University, covering
- An invitation to Shannon theory
- Linear algebra in the bra-ket notation, and a quick rundown of the quantum formalism in finite-dimensional Hilbert spaces (minus quantum gates)
- Communication using ebits (superdense coding, teleportation with perhaps an uncommon proof), EPR argument, and the CHSH inequality via a nonlocal game
Chern-Simons theory
My final term paper on Chern-Simons topological quantum field theories for PHYS253 Quantum Field Theory taught by Prof. Rouzbeh Allahverdi.
Lie groups (OBSOLETE)
A very condensed and incomplete summary of the book by Kirillov Jr., mostly focus on what confused me before by reading e.g. Fulton and Harris.
The note is obsolete and has been superseded by the sections on Lie groups in my PhD thesis.