Entanglement Sudden Death in Three Qubit X-States

Details Entanglement Sudden Death in Three Qubit X-States Entanglement Sudden Death in Three Qubit X-States

2010-04-21

arxiv.org/abs/1004.3748v2

PRA 82, 032326 (2010)

Physics

Quantum Physics

8 pages, 3 figures, additional discussion of X-states and entanglement metrics

Scientific paper

I explore the entanglement dynamics of a three qubit system in an initial X-state undergoing decoherence including the possible exhibition of entanglement sudden death (ESD). To quantify entanglement I utilize negativity measures and make use of appropriate entanglement witnesses. The negativity results are then extended to X-states with an arbitraty number of qubits. I also demonstrate non-standard behavior of the tri-partite negativity entanglement metric, its sudden appearance after some amount of decoherence followed quickly by its disappearance. Finally, I solve for a lower bound on the three qubit X-state concurrence, demonstrate when this bound goes to zero, and outline simplifcations for the calculation of higher order X-state concurrences.

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