Entanglement and Discord of superposition of Greenberger-Horne-Zeilinger states

Details Entanglement and Discord of superposition of Greenberger-Horne-Zeilinger states Entanglement and Discord of superposition of Greenberger-Horne-Zeilinger states

2009-09-24

arxiv.org/abs/0909.4443v3

Phys. Rev. A 83, 032301 (2011)

Physics

Quantum Physics

7 pages (2 columns), 2 figures

Scientific paper

10.1103/PhysRevA.83.032301

We calculate the analytic expression for geometric measure of entanglement for arbitrary superposition of two $N$-qubit canonical orthonormal Greenberger-Horne-Zeilinger ($GHZ$) states and the same for two $W$ states. In course of characterizing all kinds of nonclassical correlations, explicit formula for quantum discord (via relative entropy) for the former class of states has been presented. Contrary to the $GHZ$ state, the closest separable state to the $W$ state is not classical. Therefore, in this case the discord is different from the relative entropy of entanglement. We conjecture that the discord for the $N$-qubit $W$ state is $\log_2N$.

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