Geometry of the Faces for Separable States Arising from Generalized Choi Maps

DOI10.1142/S1230161212500096zbMath1251.81009arXiv1203.6262OpenAlexW2964192324MaRDI QIDQ3166716

Seung-Hyeok Kye, Kil-Chan Ha

Publication date: 15 October 2012

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

Full work available at URL: https://arxiv.org/abs/1203.6262

Mathematics Subject Classification ID

Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items

Global Geometric Difference Between Separable and Positive Partial Transpose States, Separable states with unique decompositions, The structural physical approximations and optimal entanglement witnesses, On Symmetric Bound Entangled States of Two Qudits

Cites Work

• Generalized Choi maps in three-dimensional matrix algebra
• Extremal positive semidefinite forms
• Entangled states with positive partial transposes arising from indecomposable positive linear maps
• Separability of mixed states: necessary and sufficient conditions.
• Construction of entangled states with positive partial transposes based on indecomposable positive linear maps
• FACIAL STRUCTURES FOR SEPARABLE STATES
• Entanglement Witnesses Arising from Exposed Positive Linear Maps
• Geometry of Entanglement Witnesses for Two Qutrits
• Separability Criterion for Density Matrices
• Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?
• Facial Structures for the Positive Linear Maps Between Matrix Algebras
• Unique decompositions, faces, and automorphisms of separable states