Classifying N-qubit Entanglement via Bell's Inequalities

Abstract

All the states of N qubits can be classified into N-1 entanglement classes from 2-entangled to N-entangled (fully entangled) states. Each class of entangled states is characterized by an entanglement index that depends on the partition of N. The larger the entanglement index of an state, the more entangled or the less separable is the state in the sense that a larger maximal violation of Bell's inequality is attainable for this class of state.

4 pages, 3 figures

References in corpus (6)

• Experimental Four-photon Entanglement and High-fidelity Teleportation
• Bell's theorem for general N-qubit states
• Bell-type inequalities to detect true n-body non-separability
• Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations
• Quadratic Bell inequalities as tests for multipartite entanglement
• Configuration of separability and tests for multipartite entanglement in Bell-type experiments

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