Entanglement dynamics of three-qubit states in noisy channels

Abstract

We study entanglement dynamics of the three-qubit system which is initially prepared in pure Greenberger-Horne- Zeilinger (GHZ) or W state and transmitted through one of the Pauli channels ${\sigma }_z,{\sigma }_x,{\sigma }_y$ or the depolarizing channel. With the help of the lower bound for three-qubit concurrence we show that the W state preserves more entanglement than the GHZ state in transmission through the Pauli channel ${\sigma }_z$. For the Pauli channels ${\sigma }_x,{\sigma }_y$ and the depolarizing channel, however, the entanglement of the GHZ state is more resistant against decoherence than the W-type entanglement. We also briefly discuss how the accuracy of the lower bound approximation depends on the rank of the density matrix under consideration.

arXiv comment2 figures, 32 references

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Cited by in corpus (13)

• Effects of classical fluctuating environments on decoherence and bipartite quantum correlations dynamics
• Defeating entanglement sudden death by a single local filtering
• Quantum discord evolution of three-qubit states under noisy channels
• Evolution of tripartite entangled states in a decohering environment and their experimental protection using dynamical decoupling
• Generating entangled quantum microwaves in a Josephson-photonics device
• Evolution equation of entanglement for multi-qubit systems
• Quantum correlation in three-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction
• Entanglement dynamics of three-qubit states in many-sided noisy channels
• Dynamics of Entanglement and Nonclassical Correlation for Four-Qubit GHZ State
• The lower bound to the concurrence for four-qubit W state under noisy channels
• Decoherence-free subspace and entanglement sudden death of multi-photon polarization states in fiber channels
• Tomography-assisted noisy quantum circuit simulator using matrix product density operators
• Symmetries of Multipartite Entanglement Evolution in Many-Sided Local Channels