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Phys. Rev. A 68, 022318 (2003) [5 pages]

Entanglement, mixedness, and spin-flip symmetry in multiple-qubit systems

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Gregg Jaeger1, Alexander V. Sergienko1,2, Bahaa E. A. Saleh1, and Malvin C. Teich1,2
1Quantum Imaging Laboratory, Department of Electrical and Computer Engineering, Boston University, Boston, Massachusetts 02215, USA
2Department of Physics, Boston University, Boston, Massachusetts 02215, USA

Received 14 May 2003; published 27 August 2003

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, for 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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.022318
DOI:
10.1103/PhysRevA.68.022318
PACS:
03.67.-a, 03.65.Ta, 42.79.Ta