Time-invariant entanglement and sudden death of nonlocality for multipartite systems under collective dephasing

Abstract

We investigate the dynamics of entanglement and nonlocality for multipartite quantum systems under collective dephasing. Using an exact and computable measure for genuine entanglement, we demonstrate the possibility of a non trivial phenomenon of time-invariant entanglement for multipartite quantum systems. We find that for four qubits, there exist quantum states, which are changing continously nevertheless their genuine entanglement remains constant. Based on our numerical results, we conjecture that there is no evidence of time-invariant entanglement for quantum states of three qubits. We point out that quantum states exhibiting time-invariant entanglement must live in both decoherence free subspace and in the subspaces orthogonal to it. The previous studies on this feature for two qubits can be recovered from our studies as a special case. We also study the nonlocality of quantum states under collective dephasing. We find that although genuine entanglement of quantum states may not change, however their nonlocality changes. We discuss the possibility of finite time end of genuine nonlocality.

7 pages, 3 figures

References in corpus (21)

• Entanglement detection
• Finite-Time Disentanglement via Spontaneous Emission
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Sudden Death of Entanglement: Classical Noise Effects
• Taming multiparticle entanglement
• Scaling laws for the decay of multiqubit entanglement
• A classification of entanglement in three-qubit systems
• Multiparticle entanglement under the influence of decoherence
• Experimental violation of Svetlichny's inequality
• Robustness of Highly Entangled Multi-Qubit States Under Decoherence
• Hastening, delaying, or averting sudden death of quantum entanglement
• Manipulating sudden death of entanglement of two-qubit X-states in thermal reservoirs
• Open-system dynamics of graph-state entanglement
• Abrupt Changes in the Dynamics of Quantum Disentanglement
• Noisy entanglement evolution for graph states
• Robust asymptotic entanglement under multipartite collective dephasing
• All entangled states display some hidden nonlocality
• Robustness of multi-qubit entanglement in the independent decoherence model
• Decoherence Effects on the Non-locality of Symmetric States
• Dynamics of genuine multipartite entanglement under local non-Markovian dephasing
• Sudden change in dynamics of genuine multipartite entanglement of cavity-reservoir qubits

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