Bound entanglement in the magic simplex of two--qutrits

Abstract

We investigate the entanglement properties of a three--parameter family of states that are part of the magic simplex of two qutrits, which is a simplex of states that are mixtures of maximally entangled two--qutrit Bell states. Using entanglement witnesses we reveal large regions of bound entangled and separable states.

7 pages, 3 figures

References in corpus (16)

• Separability Criterion for Density Matrices
• Separability of Mixed States: Necessary and Sufficient Conditions
• Separability criterion and inseparable mixed states with positive partial transposition
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Bell Inequalities and the Separability Criterion
• Information-theoretic aspects of quantum inseparability of mixed states
• Entanglement Measures under Symmetry
• Characterizing Entanglement
• Bound entanglement can be activated
• An improved bound on distillable entanglement
• A Geometric Picture of Entanglement and Bell Inequalities
• The state space for two qutrits has a phase space structure in its core
• A special simplex in the state space for entangled qudits
• The geometry of bipartite qutrits including bound entanglement
• Optimal Entanglement Witnesses for Qubits and Qutrits
• Geometric entanglement witnesses and bound entanglement

Cited by in corpus (17)

• Geometry of the generalized Bloch sphere for qutrits
• Entanglement or separability: The choice of how to factorize the algebra of a density matrix
• Entanglement witnesses and geometry of entanglement of two--qutrit states
• Quantum Entanglement Initiated Super Raman Scattering
• Bound entangled states fit for robust experimental verification
• Detection and typicality of bound entangled states
• A geometric comparison of entanglement and quantum nonlocality in discrete systems
• Quantitative bound entanglement in two-qutrit states
• A simplex of bound entangled multipartite qubit states
• Characterizing entanglement with geometric entanglement witnesses
• John Bell and the Nature of the Quantum World
• A general dichotomization procedure to provide qudits entanglement criteria
• Characterizing generalized axisymmetric quantum states in $d\times d$ systems
• Mixture of entangled pure states with maximally mixed one-qudit reduced density matrices
• Quantum Entanglement and Geometry
• On fully entangled fraction and quantum conditional entropies for states with maximally mixed marginals
• On classical and quantum liftings