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Toward an understanding of entanglement for generalized n-qubit W-states

Levon Tamaryan et al 2009 J. Phys. A: Math. Theor. 42 475303 (13pp)   doi: 10.1088/1751-8113/42/47/475303  Help

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Levon Tamaryan1, Hungsoo Kim2, Eylee Jung3, Mi-Ra Hwang3, DaeKil Park3 and Sayatnova Tamaryan4
1 Physics Department, Yerevan State University, Yerevan, 375025, Armenia
2 The Institute of Basic Science, Kyungnam University, Masan, 631-701, Korea
3 Department of Physics, Kyungnam University, Masan, Korea
4 Theory Department, Yerevan Physics Institute, Yerevan, Armenia
E-mail: dkpark@hep.kyungnam.ac.kr

Abstract. We solve stationarity equations of the geometric measure of entanglement for multi-qubit W-type states. In this way we compute analytically the maximal overlap of one-parameter n-qubit and two-parameter four-qubit W-type states and their nearest product states. Possible extensions to arbitrary W-type states and geometrical interpretations of these results are discussed in detail.

PACS number: 03.65.Ud

Print publication: Issue 47 (27 November 2009)
Received 10 June 2009, in final form 5 October 2009
Published 4 November 2009

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