The entanglement entropy has been historically studied by many authors in order to obtain
quantum mechanical interpretations of the gravitational entropy. The discovery of anti-de …

A bstract We point out a connection between the emergence of bulk locality in AdS/CFT and
the theory of quantum error correction. Bulk notions such as Bogoliubov transformations …

A bstract We compute the time-dependent entanglement entropy of a CFT which starts in
relatively simple initial states. The initial states are the thermofield double for thermal states …

A bstract We identify conditions for the entanglement entropy as a function of spatial region
to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove …

For a state in a quantum field theory on some spacetime, we can associate a density matrix
to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In …

The discussions in § 2 and § 3 make it rather clear that while we have to evaluate a
sequence of functional integrals to compute the Rényi entropies, these are rather complex …

We consider the time evolution of entanglement entropy after a global quench in a strongly
coupled holographic system, whose subsequent equilibration is described in the gravity …

A bstract We present a general procedure for constructing tensor networks that accurately
reproduce holographic states in conformal field theories (CFTs). Given a state in a large-N …

A bstract We consider four-point correlators in an excited quantum state of a field theory. We
show that, when the theory and state are holographic, a judiciously applied Fourier …

A bstract We study a conjectured connection between AdS/CFT and a real-space quantum
renormalization group scheme, the multi-scale entanglement renormalization ansatz …