Entanglement Sudden Death in Three Qubit X-States

Abstract

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.

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

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Cited by in corpus (26)

• Genuinely Multipartite Concurrence of N-qubit X-matrices
• Time-evolution of tripartite quantum discord and entanglement under local and non-local random telegraph noise
• Evolution of tripartite entangled states in a decohering environment and their experimental protection using dynamical decoupling
• Experimental Classification of Entanglement in Arbitrary Three-Qubit States on an NMR Quantum Information Processor
• Generating entangled quantum microwaves in a Josephson-photonics device
• Analytical expression of Genuine Tripartite Quantum Discord for Symmetrical X-states
• Construction of multi-qubit optimal genuine entanglement witnesses
• Quantum master equations for entangled qubit environments
• Superoperator Analysis of Entanglement in a Four-Qubit Cluster State
• Three-qubit entanglement witnesses with the full spanning properties
• Experimentally identifying the entanglement class of pure tripartite states
• Entanglement evolution in multipartite cavity-reservoir systems under local unitary operations
• The role of phases in detecting three-qubit entanglement
• Speed of disentanglement in multi-qubit systems under depolarizing channel
• Separability criterion for three-qubit states with a four dimensional norm
• Maximally genuine multipartite entangled mixed X-states of N-qubits
• Collisional-model quantum trajectories for entangled qubit environments
• Equation of motion for multiqubit entanglement in multiple independent noisy channels
• Separable ellipsoids around multipartite states
• Environment engineering to protect quantum coherence in tripartite systems under dephasing noise
• Multipartite Mixed Maximally Entangled States: Mixed States with Entanglement 1
• Entanglement preservation in tripartite quantum systems under dephasing dynamics
• Entanglement Evolution in a Five Qubit Error Correction Code
• Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor
• Dephasing-Induced Distribution of Entanglement in Tripartite Quantum Systems
• Local numerical range for a class of $2\otimes d$ hermitian operators