Capacity of entanglement in random pure state

Abstract

We compute the capacity of entanglement in the bipartite random pure state model using the replica method. We find the exact expression of the capacity of entanglement which is valid for a finite dimension of the Hilbert space. We argue that in the gravitational path integral, the capacity of entanglement receives contributions only from the sub-leading saddle points corresponding to the partially connected geometries.

13 pages

References in corpus (4)

• Asymptotics of random density matrices
• Relative Entropy of Random States and Black Holes
• Capacity of entanglement and distribution of density matrix eigenvalues in gapless systems
• Divergence of Lubkin's series for a quantum subsystem's mean entropy

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• Second-order statistics of fermionic Gaussian states
• Average capacity of quantum entanglement
• Wilsonian Effective Action and Entanglement Entropy
• Evolution of capacity of entanglement and modular entropy in harmonic chains and scalar fields
• Entanglement capacity of fermionic Gaussian states
• The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes