Entanglement entropy, black holes and holography
arXiv:hep-th/0510021 · doi:10.1016/j.physletb.2006.10.061
Abstract
We observe that the entanglement entropy resulting from tracing over a subregion of an initially pure state can grow faster than the surface area of the subregion (indeed, proportional to the volume), in contrast to examples studied previously. The pure states with this property have long-range correlations between interior and exterior modes and are constructed by purification of the desired density matrix. We show that imposing a no-gravitational collapse condition on the pure state is sufficient to exclude faster than area law entropy scaling. This observation leads to an interpretation of holography as an upper bound on the realizable entropy (entanglement or von Neumann) of a region, rather than on the dimension of its Hilbert space.
4 pages, revtex
Cited by in corpus (16)
- Black hole entropy, curved space and monsters
- Entropy bound of local quantum field theory with generalized uncertainty principle
- Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem
- A Comment or two on Holographic Dark Energy
- The Entropy Bound for Local Quantum Field Theory
- Does entropic force always imply the Newtonian force law?
- A new mechanism for non-locality from string theory: UV-IR quantum entanglement and its imprints on the CMB
- An interpretation for the entropy of a black hole
- Microscopic derivation of the Bekenstein-Hawking entropy for Schwarzschild black holes
- Entanglement and Nonunitary Evolution
- Three types of statistics and the entropy bounds
- Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
- Non-Conformal Behavior of Holographic Entanglement Measures
- Information, information processing and gravity
- Distributed Compression and Squashed Entanglement
- Generalized second law and entropy bound for a Reissner- Nordström black hole