Multipartite entanglement in four-qubit cluster-class states

Abstract

Based on quantitative complementarity relations (QCRs), we analyze the multipartite correlations in four-qubit cluster-class states. It is proven analytically that the average multipartite correlation $E_{ms}$ is entanglement monotone. Moreover, it is also shown that the mixed three-tangle is a correlation measure compatible with the QCRs in this kind of quantum states. More arrestingly, with the aid of the QCRs, a set of hierarchy entanglement measures is obtained rigorously in the present system.

7 pages, 3 figs, version 3, some refs. are added

References in corpus (26)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Three qubits can be entangled in two inequivalent ways
• Entanglement of a Pair of Quantum Bits
• Distributed Entanglement
• Quantifying Entanglement
• Experimental One-Way Quantum Computing
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Experimental entanglement of six photons in graph states
• Four qubits can be entangled in nine different ways
• Exact and Asymptotic Measures of Multipartite Pure State Entanglement
• Fidelity and Concurrence of conjugated states
• Quantum error-correcting codes associated with graphs
• High-speed linear optics quantum computing using active feed-forward
• A potential multipartide entanglement measure
• Experimental Analysis of a 4-Qubit Cluster State
• Bell Inequalities for Graph States
• Experimental realization of one-way quantum computing with two-photon four-qubit cluster states
• Local filtering operations on two qubits
• Entangled three-qubit states without concurrence and three-tangle
• Realization and characterization of a 2-photon 4-qubit linear cluster state
• Quantification of complementarity in multi-qubit systems
• Classifying N-qubit Entanglement via Bell's Inequalities
• Multipartite quantum correlation and entanglement in four-qubit pure states
• Complementarity relations for multi-qubit systems
• Information-Theoretic Measure of Genuine Multi-Qubit Entanglement
• Characterization of entanglement of more than two qubits with Bell inequalities and global entanglement

Cited by in corpus (23)

• Quantum information splitting using multi-partite cluster states
• General monogamy relation for the entanglement of formation in multiqubit systems
• Entanglement monogamy and entanglement evolution in multipartite systems
• Exploring multipartite quantum correlations with the square of quantum discord
• General monogamy relation of multi-qubit systems in terms of squared Rényi-$\alpha$ entanglement
• Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
• Classification of Entanglement in Symmetric States
• Monogamy relation of multi-qubit systems for squared Tsallis-\emph{q} entanglement
• The invariant-comb approach and its relation to the balancedness of multipartite entangled states
• Possibility of generalized monogamy relations for multipartite entanglement beyond three qubits
• Entanglement in a class of multiqubit mixed states without multipartite tangles
• Entanglement Classification of Four-partite States under the SLOCC
• On Strong Monogamy Conjecture in Four-Qubit System
• Permutation-invariant monotones for multipartite entanglement characterization
• Entanglement evolution in multipartite cavity-reservoir systems under local unitary operations
• Entanglement evolution of three-qubit mixed states in multipartite cavity-reservoir systems
• Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain
• The criterion for maximally entangled four-qubit state
• Entanglement and measurement-induced nonlocality of mixed maximally entangled states in multipartite dynamics
• Correlation evolution and monogamy of two geometric quantum discords in multipartite systems
• Tighter monogamy relations in multiparty quantum systems
• Testing the Monogamy Relations via Rank-2 Mixtures
• Monogamy Relations for Multiqubit Systems