Notes from the Qreading group:

1. The pure-state HSW Theorem.

2. Operator Schmidt decompositions and the Fourier Transform.

Talks on Bhatia's "Matrix Analysis" book:

3. Doubly Stochastic Matrices and Majorization.

4. Unitarily-invariant norms and weak majorization.

5. Matrix monotone and operator convex functions.

Notes added to the wiki for the quantum computation class at MIT:

6. A direct proof that a quantum code protecting against a noise process N also corrects against all of its instances processes N',

7. A Church of the Larger Hilbert space view of channel reversibility.