Understanding entanglement sudden death through multipartite entanglement and quantum correlations

Abstract

The effect of Entanglement Sudden Death (ESD) can arise when entangling interactions convert purely bipartite entangled states into more generally entangled states. As a result, ESD can also be seen as a function of partitioning of the system, not just of time, as the system partitioning defines different (multipartite) entanglement classes. Computing both geometric entanglement hierarchies and the generalization of concurrence allows one to demonstrate that different methods of analysing quantum correlations provide both qualitative and quantitatively different descriptions of two commonly cited examples of ESD. These results follow directly from the inequivalence of entanglement and quantum correlations, the later of which can exist in a state without the former.

Significantly rewritten and slightly shifted focus. Added calculation of entanglement hierarchies and quantum discord. Removed erroneous perturbation calculation and added more discussion and figures. 9 pages, 6 figures

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Cited by in corpus (9)

• The classical-quantum boundary for correlations: discord and related measures
• Quantum Discord and the Geometry of Bell-Diagonal States
• Optimal measurements to access classical correlations of two-qubit states
• Experimental investigation of the non-Markovian dynamics of classical and quantum correlations
• Geometric Measure of Pairwise Quantum Discord for Superpositions of Multipartite Generalized Coherent States
• Dual-probe decoherence microscopy: Probing pockets of coherence in a decohering environment
• Disappearance of entanglement: a topological point of view
• Method for Generating Randomly Perturbed Density Operators Subject to Different Sets of Constraints
• Bipartite entanglement of localized separated systems