Causality & holographic entanglement entropy

  title={Causality \& holographic entanglement entropy},
  author={Matthew Headrick and Veronika E. Hubeny and Albion Lawrence and Mukund Rangamani},
  journal={Journal of High Energy Physics},
A bstractWe 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 that the covariant holographic entanglement entropy prescription (which relates entanglement entropy of a given spatial region on the boundary to the area of a certain extremal surface in the bulk) obeys these conditions, as long as the bulk obeys the null energy condition. While necessary for the validity… 
Deriving covariant holographic entanglement
A bstractWe provide a gravitational argument in favour of the covariant holographic entanglement entropy proposal. In general time-dependent states, the proposal asserts that the entanglement entropy
A Holographic Approach to Spacetime Entanglement
Recently it has been proposed that the Bekenstein-Hawking formula for the entropy of spacetime horizons has a larger significance as the leading contribution to the entanglement entropy of general
Linearity of holographic entanglement entropy
A bstractWe consider the question of whether the leading contribution to the entanglement entropy in holographic CFTs is truly given by the expectation value of a linear operator as is suggested by
Explorations in Holographic Entanglement Entropy
In this Dissertation, different aspects of holographic entanglement entropy are explored. In quantum information theory, entanglement is a useful resource needed to perform quantum operations.
Holographic entanglement entropy from probe M-theory branes
  • R. Rodgers
  • Physics
    Journal of High Energy Physics
  • 2019
A bstractWe compute the holographic entanglement entropy contribution from planar two-dimensional defects in six-dimensional N=20$$ \mathcal{N}=\left(2,0\right) $$ superconformal field theory,
On holographic entanglement entropy of Horndeski black holes
A bstractWe study entanglement entropy in a particular tensor-scalar theory: Horndeski gravity. Our goal is two-fold: investigate the Lewkowycz-Maldacena proposal for entanglement entropy in the
Holographic Shannon Entropy: The Outer Entropy of Entanglement Wedges
It is proved that holographic Shannon entropy obeys monotonicity, a key property of Shannon entropy, as well as all known balanced inequalities of dynamical holographic entanglement entropy.
Entanglement wedge in flat holography and entanglement negativity
We establish a construction for the entanglement wedge in asymptotically flat bulk geometries for subsystems in dual (1+1)-dimensional Galilean conformal field theories in the context of flat space
Entanglement entropy in cubic gravitational theories
We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the
Holographic Entanglement Entropy
DURHAM UNIVERSITY Department of Mathematical Sciences Holographic Entanglement Entropy by Viktor G. Matyas In this dissertation we study various aspects of the holographic entanglement entropy


Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
A bstractWe propose that holographic entanglement entropy can be calculated at arbitrary orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a surface which
A covariant holographic entanglement entropy proposal
With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal
Holographic entanglement plateaux
A bstractWe consider the entanglement entropy for holographic field theories in finite volume. We show that the Araki-Lieb inequality is saturated for large enough subregions, implying that the
Causal holographic information
A bstractWe propose a measure of holographic information based on a causal wedge construction. The motivation behind this comes from an attempt to understand how boundary field theories can
Thermalization of causal holographic information
A bstractWe study causal wedges associated with a given sub-region in the boundary of asymptotically AdS spacetimes. Part of our motivation is to better understand the recently proposed holographic
Aspects of Holographic Entanglement Entropy
This is an extended version of our short report [1], where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a
Entanglement tsunami: universal scaling in holographic thermalization.
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 dual by the
Multiboundary Wormholes and Holographic Entanglement
The AdS/CFT correspondence relates quantum entanglement between boundary Conformal Field Theories and geometric connections in the dual asymptotically Anti-de Sitter space-time. We consider entangled
Entanglement entropy and nonabelian gauge symmetry
Entanglement entropy has proven to be an extremely useful concept in quantum field theory. Gauge theories are of particular interest, but for these systems the entanglement entropy is not clearly
Holographic evolution of entanglement entropy
We study the evolution of entanglement entropy in a 2-dimensional equilibration process that has a holographic description in terms of a Vaidya geometry. It models a unitary evolution in which the