Entangled states with positive partial transposes arising from indecomposable positive linear maps
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Publication:1811819
DOI10.1016/S0375-9601(03)00733-3zbMath1034.81502arXivquant-ph/0305005MaRDI QIDQ1811819
Young Sung Park, Seung-Hyeok Kye, Kil-Chan Ha
Publication date: 17 June 2003
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0305005
Related Items (24)
Geometry of the Faces for Separable States Arising from Generalized Choi Maps ⋮ Necessary conditions for optimality of decomposable entanglement witnesses ⋮ Global Geometric Difference Between Separable and Positive Partial Transpose States ⋮ Separable states and positive maps ⋮ CIRCULANT DECOMPOSITIONS FOR BIPARTITE QUANTUM SYSTEMS ⋮ Separable states with unique decompositions ⋮ Comment on: ``Construction of bound entangled edge states with special ranks ⋮ Construction of bound entangled edge states with special ranks ⋮ Relations Between Quantum Maps and Quantum States ⋮ A Note on Positive Maps and Classification of States ⋮ Construction of entangled states with positive partial transposes based on indecomposable positive linear maps ⋮ Quantum dynamical semigroups and non-decomposable positive maps ⋮ Comment on: ``Construction of bound entangled edge states with special ranks ⋮ FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT ⋮ On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps ⋮ Non-Decomposable Quantum Dynamical Semigroups and Bound Entangled States ⋮ A family of generalized Horodecki-like entangled states ⋮ Extreme rays in \(3\otimes 3\) entangled edge states with positive partial transposes ⋮ Three-by-three bound entanglement with general unextendible product bases ⋮ Existence of product vectors and their partial conjugates in a pair of spaces ⋮ Description of rank four entangled states of two qutrits having positive partial transpose ⋮ Classification of bi-qutrit positive partial transpose entangled edge states by their ranks ⋮ Equivalence classes and canonical forms for two-qutrit entangled states of rank four having positive partial transpose ⋮ On Symmetric Bound Entangled States of Two Qudits
Cites Work
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- Foundations of quantum mechanics and ordered linear spaces. Advanced Study Institute, Marburg 1973
- 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
- Extremal positive semidefinite forms
- Positive maps of low dimensional matrix algebras
- A class of extremal positive maps in \(3\times 3\) matrix algebras
- Positive projections onto spin factors
- 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.
- Separability criterion and inseparable mixed states with positive partial transposition.
- Atomic positive linear maps in matrix algebras
- Positive linear maps of operator algebras
- Decomposable Positive Maps on C ∗ -Algebras
- Positive Projections on C∗ -Algebras and an Extremal Positive Map
- On the convex set of completely positive linear maps in matrix algebras
- Duality for positive linear maps in matrix algebras
- Indecomposable Positive Maps in Matrix Algebras
- Indecomposable Extreme Positive Linear Maps in Matrix Algebras
- Facial Structures for the Positive Linear Maps Between Matrix Algebras
- A family of indecomposable positive linear maps based on entangled quantum states
- Quantum information. An introduction to basic theoretical concepts and experiments
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