The structural physical approximation conjecture
From MaRDI portal
Publication:2786623
DOI10.1063/1.4938226zbMath1330.81047OpenAlexW2214582810WikidataQ123318095 ScholiaQ123318095MaRDI QIDQ2786623
Publication date: 15 February 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4938226
Operator spaces and completely bounded maps (46L07) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Quantum coherence, entanglement, quantum correlations (81P40) Quantum state spaces, operational and probabilistic concepts (81P16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The geometry of bipartite qutrits including bound entanglement
- General state changes in quantum theory
- Choi matrices, norms and entanglement associated with positive maps on matrix algebras
- Indecomposable positive maps in low dimensional matrix algebras
- Bell inequalities and the separability criterion
- Decomposition of positive projections on C*-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 series of absolutely indecomposable positive maps in matrix algebras
- Cones of diagonally dominant matrices
- Rank two bipartite bound entangled states do not exist
- Separable states and the structural physical approximation of a positive map
- Separability of mixed states: necessary and sufficient conditions.
- Separability criterion and inseparable mixed states with positive partial transposition.
- Positive linear maps of operator algebras
- Linear transformations which preserve trace and positive semidefiniteness of operators
- Further results on the cross norm criterion for separability
- Order ideals in a \(C^*\)-algebra and its dual
- Method for Direct Detection of Quantum Entanglement
- Rank properties of exposed positive maps
- Classification of bi-qutrit positive partial transpose entangled edge states by their ranks
- The structural physical approximations and optimal entanglement witnesses
- Exposedness of Choi-Type Entanglement Witnesses and Applications to Lengths of Separable States
- Entanglement Witnesses Arising from Exposed Positive Linear Maps
- Geometry of Entanglement Witnesses for Two Qutrits
- Optimal entanglement witnesses from generalized reduction and Robertson maps
- On structural physical approximations and entanglement breaking maps
- Mapping cones of positive maps
- A note on the optimality of decomposable entanglement witnesses and completely entangled subspaces
- Positive finite rank elementary operators and characterizing entanglement of states
- Decomposable Positive Maps on C ∗ -Algebras
- Cones of positive maps and their duality relations
- Optimal indecomposable witnesses without extremality or the spanning property
- Exposed Positive Maps in M4(ℂ)
- A new criterion for indecomposability of positive maps
- Duality for positive linear maps in matrix algebras
- Separability Criterion for Density Matrices
- Entanglement witnesses arising from Choi type positive linear maps
- Indecomposable Positive Maps in Matrix Algebras
- Facial Structures for the Positive Linear Maps Between Matrix Algebras
- A class of exposed indecomposable positive maps
- Positive Linear Maps of Operator Algebras
- FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT
- Entanglement witnesses: construction, analysis and classification
- Entanglement Breaking Channels
- On the ideal structure of operator algebras
- Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
- Exposed positive maps: a sufficient condition
- Complete positivity of the map from a basis to its dual basis
- Disproving the conjecture on the structural physical approximation to optimal decomposable entanglement witnesses
- Separable states, maximally entangled states, and positive maps
This page was built for publication: The structural physical approximation conjecture
