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pages/Math401/Math401_P1_1.md

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 # Math 401, Paper 1, Side note 1: Quantum information theory and Measure concentration
 
-## MM space
+Shannon theory provides a way to quantify the amount of information in a message.
 
+Practically speaking:
+
+- A holy grail for error-correcting codes
+- Conceptually speaking:
+- An operationally-motivated way of thinking about correlations
+- What’s missing (for a quantum mechanic)?
+  - Features from linear structure:
+    - Entanglement and non-orthogonality
+
+## MM space
+-