Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Entanglement Theory Quantum Correlations

Geometric measures of entanglement and the Schmidt decomposition

arXiv
Authors: D. Ostapchuk, G. Passante, R. Kobes, G. Kunstatter

Year

2007

Paper ID

49544

Status

Preprint

Abstract Read

~2 min

Abstract Words

117

Citations

N/A

Abstract

In the standard geometric approach to a measure of entanglement of a pure state, sin2θ is used, where θ is the angle between the state to the closest separable state of products of normalized qubit states. We consider here a generalization of this notion to separable states consisting of products of unnormalized states of different dimension. In so doing, the entanglement measure sin2θ is found to have an interpretation as the distance between the state to the closest separable state. We also find the components of the closest separable state and its norm have an interpretation in terms of, respectively, the eigenvectors and eigenvalues of the reduced density matrices arising in the Schmidt decomposition of the state vector.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • In the standard geometric approach to a measure of entanglement of a pure state, sin^2θ is used, where θ is the angle between the state to the closest separable state of...

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:0707.4020 [2] arXiv https://arxiv.org/abs/0707.4020 [3] Publisher https://arxiv.org/abs/0707.4020

Local Citation Graph (Related-Paper Links)

Current Paper #49544 #69032 Beyond the Canonical Protocol: ... #69027 Computational Superiority of No... #69013 Quantum correlations and cohere... #68993 Tomography of quantum states wi...

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.