Hyperthreads in holographic spacetimes

  title={Hyperthreads in holographic spacetimes},
  author={Jonathan Harper},
We generalize bit threads to hyperthreads in the context of holographic spacetimes. We define a “k-thread” to be a hyperthread which connects k different boundary regions and posit that it may be considered as a unit of k-party entanglement. Using this new object, we show that the contribution of hyperthreads to calculations of holographic entanglement entropy are generically finite. This is accomplished by constructing a surface whose area determines their maximum allowed contribution. We also… Expand


Bit Threads and Holographic Entanglement
The Ryu-Takayanagi (RT) formula relates the entanglement entropy of a region in a holographic theory to the area of a corresponding bulk minimal surface. Using the max flow-min cut principle, aExpand
Bit Threads and Holographic Monogamy
Bit threads are used to prove the monogamy of mutual information property of holographic entanglement entropies, using the concept of a so-called multicommodity flow, adapted from the network setting, and tools from the theory of convex optimization. Expand
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 entangledExpand
Holography and Wormholes in 2+1 Dimensions
We provide a holographic interpretation of a class of three-dimensional wormhole spacetimes. These spacetimes have multiple asymptotic regions which are separated from each other by horizons. EachExpand
Bit threads and holographic entanglement of purification
Abstract The entanglement of purification (EoP), which measures the classical correlations and entanglement of a given mixed state, has been conjectured to be dual to the area of the minimal crossExpand
Entanglement entropy in three dimensional gravity
A bstractThe Ryu-Takayanagi (RT) and covariant Hubeny-Rangamani-Takayanagi (HRT) proposals relate entanglement entropy in CFTs with holographic duals to the areas of minimal or extremal surfaces inExpand
The holographic entropy cone
A bstractWe initiate a systematic enumeration and classification of entropy inequalities satisfied by the Ryu-Takayanagi formula for conformal field theory states with smooth holographic dualExpand
Holography and Riemann surfaces
We study holography for asymptotically AdS spaces with an arbitrary genus compact Riemann surface as the conformal boundary. Such spaces can be constructed from the Euclidean AdS_3 by discreteExpand
Holographic Derivation of Entanglement Entropy from AdS/CFT
A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformalExpand
Multi-partite entanglement
We give an introduction to the theory of multi-partite entanglement. We begin by describing the "coordinate system" of the field: Are we dealing with pure or mixed states, with single or multipleExpand