Balanced partial entanglement and mixed state correlations

  title={Balanced partial entanglement and mixed state correlations},
  author={Hugo A. Camargo and Pratik Nandy and Qiang Wen and Haocheng Zhong},
  journal={SciPost Physics},
Recently in Ref. [1], one of the authors introduced the balanced partial entanglement (BPE), which has been proposed to be dual to the entanglement wedge cross-section (EWCS). In this paper, we explicitly demonstrate that the BPE could be considered as a proper measure of the total intrinsic correlation between two subsystems in a mixed state. The total correlation includes certain crossing correlations, which are minimized by particular balance conditions. By constructing a class of… 

Figures from this paper

Balanced Partial Entanglement in Flat Holography

We advance a construction for the balanced partial entanglement entropy (BPE) for bipartite mixed states in a class of (1+1)-dimensional Galilean conformal field theories dual to Einstein gravity and

Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies

The balanced partial entanglement (BPE) was observed to give the reflected entropy and the entanglement wedge cross-section (EWCS) for various mixed states in different theories [1,2]. It can be

Entanglement Islands from Hilbert Space Reduction

In this paper we try to understand the Island formula from a purely quantum information perspective. We propose that the island phase is a property of the quantum state and the Hilbert space where

The Markov gap in the presence of islands

A boundary way of counting the lowerbound for the Markov gap is proposed, which states that the lower bound is given by c 3 log 2 times the number of gaps between two boundary regions in vacuum states.

A BMS-invariant free fermion model

: We used the Cartan formalism to construct fermionic models that are compatible with Galilean or Carrollian symmetry and rigid scaling symmetry. The free Carrollian fermion model exhibits conformal

Defect extremal surfaces for entanglement negativity

In the time-dependent AdS 3 /BCFT 2 scenarios involving eternal black holes in the lower dimensional effective description, the time evolution of the entanglement negativity through the DES and the island formulae is investigated and the analogues of the Page curves are obtained.

Odd entanglement entropy in Galilean conformal field theories and flat holography

The odd entanglement entropy (OEE) for bipartite states in a class of (1+1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}

The PEE aspects of entanglement islands from bit threads

We study the partial entanglement entropy (PEE) aspects of the holographic BCFT setup with an entanglement island, inspired by the holographic triality of the AdS/BCFT setup developed in the recent

Reflected entropy in Galilean conformal field theories and flat holography

We obtain the reflected entropy for bipartite states in a class of $$(1+1)$$ ( 1 + 1 ) -dimensional Galilean conformal field theories $$(GCFT_{1+1})$$ ( G C F T 1 + 1 ) through a replica technique.



Holographic Entanglement of Purification from Conformal Field Theories.

It is argued that, in AdS_{3}/CFT_{2}, the holographic entanglement of purification agrees with theEntanglement entropy for a purified state, obtained from a special Weyl transformation, called path-integral optimizations, by definition, this special purified state has minimal path-Integral complexity.

Local measures of entanglement in black holes and CFTs

We study the structure and dynamics of entanglement in CFTs and black holes. We use a local entanglement measure, the entanglement contour, which is a spatial density function for von Neumann entropy

The Markov gap for geometric reflected entropy

The reflected entropy SR(A : B) of a density matrix ρAB is a bipartite correlation measure lower-bounded by the quantum mutual information I(A : B). In holographic states satisfying the quantum

Universal Tripartite Entanglement in One-Dimensional Many-Body Systems.

This work introduces two related non-negative measures of tripartite entanglement g and h and proves structure theorems which show that states with nonzero g or h have nontrivial tripartites entangled with each other.

Balanced partial entanglement and the entanglement wedge cross section

In this article we define a new information theoretical quantity for any bipartite mixed state ρ AB . We call it the balanced partial entanglement (BPE). The BPE is the partial entanglement entropy,

Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories.

A new optimization procedure for Euclidean path integrals, which compute wave functionals in conformal field theories (CFTs), is introduced and it is suggested that the optimization prescription is analogous to the estimation of computational complexity.

Liouville action as path-integral complexity: from continuous tensor networks to AdS/CFT

An optimization procedure for Euclidean path-integrals that evaluate CFT wave functionals in arbitrary dimensions that resembles a continuous tensor network renormalization and provides a concrete realization of the proposed interpretation of AdS/CFT as tensor networks.

Formulas for partial entanglement entropy

It is shown that for Poincar\'e invariant theories the physical requirements are enough to uniquely determine the PEE (or the entanglement contour) to satisfy a general formula.

Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals

  • Qiang Wen
  • Physics
    Journal of High Energy Physics
  • 2019
A bstractBased on the Lewkowycz-Maldacena prescription and the fine structure analysis of holographic entanglement proposed in [1], we explicitly calculate the holographic entanglement entropy for

Fine structure in holographic entanglement and entanglement contour

We explore the fine structure of the holographic entanglement entropy proposal (the Ryu-Takayanagi formula) in AdS$_3$/CFT$_{2}$. With the guidance from the boundary and bulk modular flows we find a