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

Levon Tamaryan1, Hungsoo Kim2, Eylee Jung3, Mi-Ra Hwang3, DaeKil Park3 and Sayatnova Tamaryan4

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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

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

03.67.Lx Quantum computation architectures and implementations

03.65.Fd Algebraic methods

MSC

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

81Rxx Groups and algebras in quantum theory

15A18 Eigenvalues, singular values, and eigenvectors

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 47 (27 November 2009)

Received 10 June 2009, in final form 5 October 2009

Published 4 November 2009



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