Phys. Rev. A 80, 042302 (2009) [9 pages]Geometric measure for entanglement in N-qudit pure statesReceived 13 June 2009; published 1 October 2009 We present a multipartite entanglement measure for N-qudit pure states, using the norm of the correlation tensor which occurs in the Bloch representation of the state. We compute this measure for an important class of N-qutrit pure states, namely, general GHZ states. We prove that this measure possesses all the essential and many desirable properties expected of a good entanglement measure, including monotonicity. We also discuss the feasibility of the experimental evaluation of this measure for an N-qutrit system. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.042302
DOI:
10.1103/PhysRevA.80.042302
PACS:
03.67.Mn, 03.65.Ca, 03.65.Ud
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