Entanglement Witnesses Arising from Exposed Positive Linear Maps

DOI10.1142/S1230161211000224zbMath1243.81038arXiv1108.0130MaRDI QIDQ2891172

Seung-Hyeok Kye, Kil-Chan Ha

Publication date: 13 June 2012

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0130

Mathematics Subject Classification ID

Quantum coherence, entanglement, quantum correlations (81P40)

Related Items

Merging of positive maps: a construction of various classes of positive maps on matrix algebras, Geometry of the Faces for Separable States Arising from Generalized Choi Maps, Exposed Positive Maps in M₄(ℂ), Geometry of Entanglement Witnesses Parametrized by SO(3) Group, Necessary conditions for optimality of decomposable entanglement witnesses, New tools for investigating positive maps in matrix algebras, Positive tensor products of maps andn-tensor-stable positive qubit maps, Notes on extremality of the Choi map, Separable states with unique decompositions, Dvoretzky's theorem and the complexity of entanglement detection, FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT, Entanglement witnesses generated by positive maps, The structural physical approximation conjecture, Extremal Positive Maps on M₃(ℂ) and Idempotent Matrices, Characterization of bistochastic Kadison-Schwarz operators on \(M_2(\mathbb C)\), Dimension formula for induced maximal faces of separable states and genuine entanglement, There is no direct generalization of positive partial transpose criterion to the three-by-three case, Optimal Entanglement Witnesses for Two Qutrits, Quantum mappings and characterization of entangled quantum states, Rank properties of exposed positive maps, The structural physical approximations and optimal entanglement witnesses, Exposedness of Choi-Type Entanglement Witnesses and Applications to Lengths of Separable States

Cites Work

• Unnamed Item
• Geometry of quantum states: new construction of positive maps
• Bell inequalities and the separability criterion
• On positive linear maps between matrix algebras
• Generalized Choi maps in three-dimensional matrix algebra
• Completely positive linear maps on complex matrices
• Positive semidefinite biquadratic forms
• Nonextendible positive maps
• Extremal positive semidefinite forms
• Positive maps of low dimensional matrix algebras
• A class of extremal positive maps in \(3\times 3\) matrix algebras
• Facial structures for unital positive linear maps in the two-dimensional matrix algebra
• Facial structures for positive linear maps in two-dimensional matrix algebra
• Separability of mixed states: necessary and sufficient conditions.
• Construction of entangled states with positive partial transposes based on indecomposable positive linear maps
• Positive linear maps of operator algebras
• Subalgebras of \(C^ *\)-algebras
• A Class of Linear Positive Maps in Matrix Algebras
• Separability Criterion for Density Matrices
• Indecomposable Positive Maps in Matrix Algebras
• Facial Structures for the Positive Linear Maps Between Matrix Algebras
• Characterization of separable states and entanglement witnesses
• On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps
• How to construct indecomposable entanglement witnesses
• Extremals and exposed faces of the cone of positive maps
• Positive Linear Maps on C^*-Algebras