Characterization of entanglement of more than two qubits with Bell inequalities and global entanglement

Abstract

It is shown that the entanglement-structure of 3- and 4-qubit states can be characterized by optimized operators of the Mermin-Klyshko type. It is possible to discriminate between pure 2-qubit entanglements and higher entanglements. A comparison with a global entanglement measure and the i-concurrence is made.

9 pages, 6 figures, 3 tables, revtex 4, revised version

References in corpus (10)

• 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
• Universal state inversion and concurrence in arbitrary dimensions
• Global entanglement in multiparticle systems
• Spectral decomposition of Bell's operators for qubits
• Entanglement and correlation in anisotropic quantum spin systems
• Entanglement, Mixedness, and Spin-Flip Symmetry in Multiple-Qubit Systems
• Classifying N-qubit Entanglement via Bell's Inequalities

Cited by in corpus (7)

• Genuine Multipartite Entanglement in Quantum Phase Transitions
• Thermal Entanglement between Alternate Qubits of a Four-qubit Heisenberg XX Chain in a Magnetic Field
• Multipartite entanglement in four-qubit cluster-class states
• Entanglement measurement with discrete multiple coin quantum walks
• Efficient creation of multipartite entanglement in flux qubits
• Effect of three-spin interaction on thermal entanglement in Heisenberg XXZ model
• Characterization of four-qubit states via Bell inequalities