Scaling laws for the decay of multiqubit entanglement

Details Scaling laws for the decay of multiqubit entanglement Scaling laws for the decay of multiqubit entanglement

2008-01-08

arxiv.org/abs/0801.1305v4

Phys. Rev. Lett. 100, 080501 (2008)

Physics

Quantum Physics

Minor mistakes corrected

Scientific paper

10.1103/PhysRevLett.100.080501

We investigate the decay of entanglement of generalized N-particle Greenberger-Horne-Zeilinger (GHZ) states interacting with independent reservoirs. Scaling laws for the decay of entanglement and for its finite-time extinction (sudden death) are derived for different types of reservoirs. The latter is found to increase with the number of particles. However, entanglement becomes arbitrarily small, and therefore useless as a resource, much before it completely disappears, around a time which is inversely proportional to the number of particles. We also show that the decay of multi-particle GHZ states can generate bound entangled states.

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