Inviolable energy conditions from entanglement inequalities
arXiv:1412.3514
Abstract
Via the AdS/CFT correspondence, fundamental constraints on the entanglement structure of quantum systems translate to constraints on spacetime geometries that must be satisfied in any consistent theory of quantum gravity. In this paper, we investigate such constraints arising from strong subadditivity and from the positivity and monotonicity of relative entropy in examples with highly-symmetric spacetimes. Our results may be interpreted as a set of energy conditions restricting the possible form of the stress-energy tensor in consistent theories of Einstein gravity coupled to matter.
25 pages, 3 figures, v2: refs added, expanded discussion of strong subadditivity constraints in sections 2.1 and 4.2
References in corpus (8)
- Towards a derivation of holographic entanglement entropy
- A holographic proof of the strong subadditivity of entanglement entropy
- Universality of Gravity from Entanglement
- Holographic Holes and Differential Entropy
- Tomography from Entanglement
- Entanglement density and gravitational thermodynamics
- Extracting the bulk metric from boundary information in asymptotically AdS spacetimes
- Derivation of the Null Energy Condition