A new class of states with positive partial transposition

Abstract

We construct a new class of PPT states for bipartite "d x d" systems. This class is invariant under the maximal commutative subgroup of U(d) and contains as special cases almost all known examples of PPT states. Theses states may be used to test the atomic property of positive maps which are crucial in studying quantum entanglement.

4.5 pages

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• How to construct entanglement witnesses
• Quantum states with strong positive partial transpose
• Diagonal unitary and orthogonal symmetries in quantum theory
• Optimal entanglement witnesses from generalized reduction and Robertson maps
• A class of positive atomic maps
• Generalized Circulant Densities and a Sufficient Condition for Separability
• A class of symmetric Bell diagonal entanglement witnesses - a geometric perspective
• A graphical calculus for integration over random diagonal unitary matrices
• Diagonal unitary and orthogonal symmetries in quantum theory II: Evolution operators
• Bell diagonal states with maximal abelian symmetry
• Can entanglement hide behind triangle-free graphs?
• Entanglement witnesses for $d\otimes d$ systems and new classes of entangled qudit states
• Extended Reduction Criterion and Lattice States
• Random covariant quantum channels
• Nonexistence of entangled continuous-variable Werner states with positive partial transpose
• On the structure of entanglement witnesses and new class of positive indecomposable maps
• Monogamous property of generalized W states in three-qubit systems in terms of relative entropy of entanglement
• On the symmetry of the seminal Horodecki state
• Operator space approach to steering inequality
• On the separability criterion of bipartite states with certain non-Hermitian operators
• Controlling nonlocality of bipartite qubit states via quantum channels