One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps

Abstract

In the recent paper [Chruściński and Wudarski, arXiv:1105.4821], it was conjectured that the entanglement witnesses arising from some generalized Choi maps are optimal. We show that this conjecture is true. Furthermore, we show that they provide a one parameter family of indecomposable optimal entanglement witnesses.

3 pages

References in corpus (3)

• Structural approximations to positive maps and entanglement breaking channels
• Constructing optimal entanglement witnesses. II
• Optimal entanglement witnesses from generalized reduction and Robertson maps

Cited by in corpus (28)

• Entanglement witnesses: construction, analysis and classification
• Facial structures for various notions of positivity and applications to the theory of entanglement
• Entanglement witnesses arising from exposed positive linear maps
• Entanglement witnesses from mutually unbiased bases
• Optimality for indecomposable entanglement witnesses
• A characterization of optimal entanglement witnesses
• Exposed positive maps: a sufficient condition
• A class of exposed indecomposable positive maps
• The structural physical approximations and optimal entanglement witnesses
• Exposed positive maps in M_4(C)
• Entanglement witnesses arising from Choi type positive linear maps
• A class of symmetric Bell diagonal entanglement witnesses - a geometric perspective
• Inertias of entanglement witnesses
• A class of Bell diagonal entanglement witnesses in ${\mathbb{C}}^4\otimes {\mathbb{C}}^4$: optimization and the spanning property
• Measurement-based local quantum filters and their ability to transform quantum entanglement
• Extremal extensions of entanglement witnesses and their connection with UPB
• On the structure of mirrored operators obtained from optimal entanglement witnesses
• New tools for investigating positive maps in matrix algebras
• Recurrent construction of optimal entanglement witnesses for 2N qubit systems
• Optimal indecomposable witnesses without extremality as well as spanning property
• A class of optimal positive maps in $M_n$
• A characterization of entangled two-qubit states via partial-transpose-moments
• Geometry of entanglement witnesses parameterized by SO(3) group
• On exposed positive maps: Robertson and Breuer-Hall maps
• Mirrored Entanglement Witnesses for Multipartite and High-Dimensional Quantum Systems
• Optimal entanglement witnesses for two qutrits
• Detecting Entanglement by State Preparation and Local Measurements
• Geometry of the faces for separable states arising from generalized Choi maps