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Math 401, Paper 1: Concentration of measure effects in quantum information (Patrick Hayden)

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Quantum codes

Preliminaries

Daniel Gottesman's mathematics of quantum error correction

Quantum channels

Encoding channel and decoding channel

Quantum capacity for a quantum channel

Lloyd-Shor-Devetak theorem

Surprise in high-dimensional quantum systems

Levy's lemma

Random states and random subspaces

ebits and qbits

Superdense coding of quantum states

Consequences for mixed state entanglement measures

Quantum mutual information

Multipartite entanglement