Categorical Quantum Mechanics

Here we list the current loose ends, and concrete open problems as well as future directions for categorical Quantum Mechanics.

• ZX-Completeness
• GHZ/W-applications (?)
• Applications of Quanto
• Interpretation of C*-algebras; how are superselection rules interpreted categorically?
• CQM Reconstruction. Can we reconstruct CQM using foundational axioms.
• Premonoidal/Promonoidal Toy Models
• Notions of Purity; what is the relation between purity in CPM and purity by Giulio?
• Bounds from form; how can we classify (categorical) models, as classical, quantum, or super quantum physics.
• Compositional account on non locality/contextuality. Can we define a compositional account on non locality/contextuality
• CPM in natural language. What is the interpretation of standard notions CPM, in the domain of natural language
• The philosophy of Categorical Quantum Mechanics
• Notions of computational power
• CQM and CCM; the relation between Categorical Quantum Mechanics and Categorical Classical Mechanics
• Analogies with other string diagram models