Recommended Books/Notes

• Quantum Shannon theory:
  Quantum Information Theory – Mark M. Wilde
  Theory of Quantum Information – John Watrous
  Quantum Systems, Channels, Information, A Mathematical Introduction – Alexander S. Holevo
• Quantum entropy:
  Quantum entropy and its use – Masanory Ohya and Dénes Petz
  Quantum Information Processing with Finite Resources, Mathematical Foundations – Marco Tomamichel
• Matrix analysis:
  Matrix Analysis – Rajendra Bhatia
  Introduction to Matrix Analysis and Applications – Fumio Hiai and Dénes Petz
  The Matrix Cookbook – Kaare B. Petersen and Michael S. Pedersen
• Optimization theory:
  Convex Optimization – Stephen Boyd and Lieven Vandenberghe
  Semidefinite Programming in the Theory of Quantum Information – John Watrous
• Operator spaces:
  Introduction to Operator Space Theory – Gilles Pisier

(open access versions are linked when available)

Miscellaneous

• SciRate – Follow the arXiv and see the highest ranked new papers
• Quantum Frontiers – A blog by the Institute for Quantum Information and Matter @ Caltech
• Other (quantum information related) blogs I follow:
  MyCQstate, Schroedinger’s rat, Shtetl-Optimized, What’s new
• Quantum Chess – Stephen Hawking vs. Paul Rudd (feat. Keanu Reeves)