An Experimentally accessible geometric measure for entanglement in $N$-qudit pure states

Details An Experimentally accessible geometric measure for entanglement in $N$-qudit pure states An Experimentally accessible geometric measure for entanglement in $N$-qudit pure states

2009-01-16

arxiv.org/abs/0901.2398v1

PHYSICAL REVIEW A 80, 042302 (2009)

Physics

Quantum Physics

22 pages, one figures

Scientific paper

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 important class of $N$-qutrit pure states, namely general GHZ states. We prove that this measure possesses almost all the properties expected of a good entanglement measure, including monotonicity. Finally, we extend this measure to $N$-qudit mixed states via convex roof construction and establish its various properties, including its monotonicity.

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