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Entanglement in random pure states: spectral density and average von Neumann entropy

Entanglement in random pure states: spectral density and average von Neumann entropy

Quantum entanglement plays a crucial role in quantum information, quantum teleportation and quantum computation. The information about the entanglement content between subsystems of the composite system is encoded in the Schmidt eigenvalues. We derive here closed expressions for the spectral density of Schmidt eigenvalues for all three invariant classes of …