Multiparticle entanglement under the influence of decoherence

Abstract

We present a method to determine the decay of multiparticle quantum correlations as quantified by the geometric measure of entanglement under the influence of decoherence. With this, we compare the robustness of entanglement in GHZ-, cluster-, W- and Dicke states of four qubits and show that the Dicke state is most robust. Finally, we determine the geometric measure analytically for decaying GHZ and cluster states of an arbitrary number of qubits.

5 pages, 3 figures, v2: final version, to appear as a Rapid Communication in PRA

References in corpus (7)

• Experimental entanglement of six photons in graph states
• Scaling laws for the decay of multiqubit entanglement
• Universal geometric entanglement close to quantum phase transitions
• Entanglement of multiparty stabilizer, symmetric, and antisymmetric states
• Entanglement and local information access for graph states
• Lower bounds on entanglement measures from incomplete information
• Relative entropy of entanglement for certain multipartite mixed states

Cited by in corpus (9)

• Entanglement detection
• Experimental entanglement of a six-photon symmetric Dicke state
• The geometric measure of entanglement for symmetric states
• Tri-partite Entanglement Witnesses and Sudden Death
• Robustness of Highly Entangled Multi-Qubit States Under Decoherence
• Open-system dynamics of graph-state entanglement
• Scalability of GHZ and random-state entanglement in the presence of decoherence
• Decay of Entanglement for Solid-State Qubits
• Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence