Quick Navigation

Topics

Entanglement Theory Quantum Correlations

Recurrent construction of optimal entanglement witnesses for 2N qubit systems

arXiv
Authors: Justyna P. Zwolak, Dariusz Chruściński

Year

2013

Paper ID

31976

Status

Preprint

Abstract Read

~2 min

Abstract Words

83

Citations

N/A

Abstract

We provide a recurrent construction of entanglement witnesses for a bipartite systems living in a Hilbert space corresponding to 2N qubits (N qubits in each subsystem). Our construction provides a new method of generalization of the Robertson map that naturally meshes with 2N qubit systems, i.e., its structure respects the 22N growth of the state space. We prove that for N>1 these witnesses are indecomposable and optimal. As a byproduct we provide a new family of PPT (Positive Partial Transpose) entangled states.

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 provide a recurrent construction of entanglement witnesses for a bipartite systems living in a Hilbert space corresponding to 2N qubits (N qubits in each subsystem).

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 #31976

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.