# Balanced partial entanglement and mixed state correlations

@article{Camargo2022BalancedPE, title={Balanced partial entanglement and mixed state correlations}, author={Hugo A. Camargo and Pratik Nandy and Qiang Wen and Haocheng Zhong}, journal={SciPost Physics}, year={2022} }

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…

## 10 Citations

### Balanced Partial Entanglement in Flat Holography

- Physics
- 2022

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

- PhysicsSciPost Physics
- 2022

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

- Physics
- 2022

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

- Physics
- 2022

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

- Physics
- 2022

: 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

- Computer Science
- 2022

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

- Materials ScienceThe European Physical Journal C
- 2022

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

- PhysicsJournal of High Energy Physics
- 2022

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

- PhysicsThe European Physical Journal C
- 2022

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.…

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