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Entanglement, Mixedness, and Spin-Flip Symmetry in Multiple-Qubit Systems

Gregg Jaeger, Alexander V. Sergienko, Bahaa E. A. Saleh, Malvin C. Teich

quant-pharXiv:quant-ph/0307124

Abstract

A relationship between a recently introduced multipartite entanglement measure, state mixedness, and spin-flip symmetry is established for any finite number of qubits. It is also shown that, within those classes of states invariant under the spin-flip transformation, there is a complementarity relation between multipartite entanglement and mixedness. A number of example classes of multiple-qubit systems are studied in light of this relationship.

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