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# Math 401, Paper 1, Side note 1: Quantum information theory and Measure concentration
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
- Whats missing (for a quantum mechanic)?
- Features from linear structure:
- Entanglement and non-orthogonality
## MM space
-