Universal Bounds on the Time Evolution of Entanglement Entropy
arXiv:1407.0705 · doi:10.1103/PhysRevLett.113.231604
Abstract
Using relative entropy, we derive bounds on the time rate of change of geometric entanglement entropy for any relativistic quantum field theory in any dimension. The bounds apply to both mixed and pure states, and may be extended to curved space. We illustrate the bounds in a few examples and comment on potential applications and future extensions.
8 page, 1 figure
References in corpus (6)
- Towards a derivation of holographic entanglement entropy
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Relative entropy and the Bekenstein bound
- Entropy on a null surface for interacting quantum field theories and the Bousso bound
- Upper bounds on entangling rates of bipartite Hamiltonians
- Structure of entanglement in regulated Lorentz invariant field theories