Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication

Topics

Entanglement Theory Quantum Correlations

The entropy vector formalism and the structure of multidimensional entanglement in multipartite systems

arXiv
Authors: Marcus Huber, Martí Perarnau-Llobet, Julio I. de Vicente

Year

2013

Paper ID

33717

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

We review and generalize the recently introduced framework of entropy vectors for detecting and quantifying genuine multipartite entanglement in high dimensional multicomponent quantum systems. We show that these ideas can be extended to discriminate among other forms of multipartite entanglement. In particular, we develop methods to test whether density matrices are: decomposable, i.\ e.\ separable with respect to certain given partitions of the subsystems; k-separable, i.\ e.\ separable with respect to k partitions of the subsystems; k-partite entangled, i.e. there is entanglement among a subset of at least k parties. We also discuss how to asses the dimensionality of entanglement in all these cases.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • We review and generalize the recently introduced framework of entropy vectors for detecting and quantifying genuine multipartite entanglement in high dimensional multicomponent...

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.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1307.3541 [2] arXiv https://arxiv.org/abs/1307.3541 [3] Publisher https://arxiv.org/abs/1307.3541

Local Citation Graph (Related-Paper Links)

Current Paper #33717

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.