Quick Navigation

Topics

Quantum Simulation

Entanglement of quantum spin systems: a valence-bond approach

arXiv
Authors: S. Capponi, F. Alet, M. Mambrini

Year

2010

Paper ID

28780

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

Abstract

In order to quantify entanglement between two parts of a quantum system, one of the most used estimator is the Von Neumann entropy. Unfortunately, computing this quantity for large interacting quantum spin systems remains an open issue. Faced with this difficulty, other estimators have been proposed to measure entanglement efficiently, mostly by using simulations in the valence-bond basis. We review the different proposals and try to clarify the connections between their geometric definitions and proper observables. We illustrate this analysis with new results of entanglement properties of spin 1 chains.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • In order to quantify entanglement between two parts of a quantum system, one of the most used estimator is the Von Neumann entropy.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

Local Citation Graph (Related-Paper Links)

Current Paper #28780 #69599 Tensor network compression usin... #69594 A Collective-Spin Derivation of... #69593 Local correlations in long-rang... #69592 Direct/adaptive-mixture phase-g...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.