Here are few things that happened this week:
New essay. As usual, on the 15th I published a new essay. This shows that quantum superpositions exist exactly because quantum mechanics allows the same ensemble to be decomposed into pure states in different ways.
Presentation. On Tuesday, Prof. Aidala gave a talk about the program here are the University of Michigan.
Unit corrections. A YouTube viewer pointed out that, in the book, we were using Kg instead of kg… whoops! Fixed it this week. I always appreciate people that help me fix small things like these!
Affine hull and affine basis. This week I integrated the work of one of this year UROP students. In the chapter of ensemble spaces, we added a definition of affine hull, affine independence and affine basis which recovers the standard notions of vector subspaces, linear independent and Hamel basis in the embedding vector space. This was an open problem in that chapter. Can we finally show that, at least, finite dimensional ensemble spaces are topologically embeddable in a topological vector space? Still needs help on that!
Searchable problems. Speaking of open problems, I was able to add a search bar in the open problem page. So, open problems are now searchable. Another piece on the infrastructure to do open research.
This is what I was able to reconstruct from my calendar and github logs…