Multiparticle entanglement in graph-diagonal states: Necessary and sufficient conditions for four qubits

Abstract

The characterization of genuine multiparticle entanglement is important for entanglement theory as well as experimental studies related to quantum information theory. Here, we completely characterize genuine multiparticle entanglement for four-qubit states diagonal in the cluster-state basis. In addition, we give a complete characterization of multiparticle entanglement for all five-qubit graph states mixed with white noise, for states diagonal in the basis corresponding to the five-qubit Y-shaped graph, and for a family of graph states with an arbitrary number of qubits.

11 pages, 2 figures, v2: small changes

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Cited by in corpus (19)

• Open-System Dynamics of Entanglement
• Entanglement criteria for Dicke states
• Scaling of genuine multiparticle entanglement at a quantum phase transition
• Genuine multiparticle entanglement of permutationally invariant states
• Analytical characterization of the genuine multiparticle negativity
• Entanglement and nonclassical properties of hypergraph states
• Analysing quantum systems with randomised measurements
• Entanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)
• Computing complexity measures for quantum states based on exponential families
• Quantifying entanglement of maximal dimension in bipartite mixed states
• Construction of multi-qubit optimal genuine entanglement witnesses
• Entanglement of four-qubit systems: a geometric atlas with polynomial compass II (the tame world)
• Efficient estimation of multipartite quantum coherence
• Estimating localizable entanglement from witnesses
• Efficient Entanglement Measure for Graph States
• Construction of three qubit genuine entanglement with bi-partite positive partial transposes
• Genuine Entanglement of Four Qubit Cluster Diagonal States
• Localizing genuine multiparty entanglement in noisy stabilizer states
• Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors