Theses
Master's thesis
My master's thesis provides a gentle introduction to Bell nonlocality and the framework of generalized probabilistic theories. In the thesis, I explored the similarities and differences between quantum theory and other non-classical theories. In particular, I proved that, under a composition rule that enlarges the set of entangled states, Tsirelson's bound for a specific multipartite Bell inequality is still satisfied.
Open thesisNotebooks
Here are some of my notebooks on topics that I studied or am currently studying.
Tensor product of vector spaces
At some point during my undergraduate years, tensors started popping up everywhere and they were usually presented as mysterious objects with tons of indices and that are characterized by the way they transform under changes of coordinate systems. Personally, I do not like this presentation: first, it does not define what kind of mathematical object a tensor is; second, it prevents students from getting a fairly simple exposition to the mathematical notion of taking a quotient.
In these notes, I try to carefully construct the tensor product of vector spaces and characterize it by its universal property.
Open notebookSolutions to textbook exercises
When I am very bored, I usually pick a textbook and go on a spree solving as many exercises as I can (for some reason this feels like playing a mini-game from an RPG). Hopefully, I will typeset these solutions into proper documents one day.
From Classical to Quantum Shannon Theory
- Solutions to selected exercises from chapters 3 and 4. (Open file)
- Solutions to selected exercises from chapter 5. (Open file)
Semidefinite Programming in Quantum Information Science
- Solutions to all exercises from chapters 1 and 2. (Open file)