Entanglement Entropy of a Random Pure State
Entanglement Entropy of a Random Pure State
Entanglement Entropy of a Random Pure State
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Plan<br />
Plan:<br />
• Bipartite entanglement <strong>of</strong> a random pure state<br />
• Reduced density matrix −→ random matrix theory<br />
• Distribution <strong>of</strong> the Renyi entropy<br />
Results<br />
Coulomb gas technique for large systems<br />
Phase transitions<br />
S.N. Majumdar<br />
Distribution <strong>of</strong> Bipartite <strong>Entanglement</strong> <strong>of</strong> a <strong>Random</strong> <strong>Pure</strong> <strong>State</strong>