Physics – Quantum Physics
Scientific paper
2009-01-17
Phys. Rev. A 80 (2009) 010301(R)
Physics
Quantum Physics
10 pages, no figure V2: new calculational results are included. 11 pages: V3 accepted in the Rapid Communication of PRA, 4 pag
Scientific paper
10.1103/PhysRevA.80.010301
Some mixed states composed of only GHZ states can be expressed in terms of only W-states. This fact implies that such states have vanishing three-tangle. One of such rank-3 states, $\Pi_{GHZ}$, is explicitly presented in this paper. These results are used to compute analytically the three-tangle of a rank-4 mixed state $\sigma$ composed of four GHZ states. This analysis with considering Bloch sphere $S^{16}$ of $d=4$ qudit system allows us to derive the hyper-polyhedron. It is shown that the states in this hyper-polyhedron have vanishing three-tangle. Computing the one-tangles for $\Pi_{GHZ}$ and $\sigma$, we prove the monogamy inequality explicitly. Making use of the fact that the three-tangle of $\Pi_{GHZ}$ is zero, we try to explain why the W-class in the whole mixed states is not of measure zero contrary to the case of pure states.
Jung Eylee
Park DaeKil
Son Jin-Woo
No associations
LandOfFree
Does three-tangle properly quantify the three-party entanglement for Greenberger-Horne-Zeilinger-type states? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Does three-tangle properly quantify the three-party entanglement for Greenberger-Horne-Zeilinger-type states?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Does three-tangle properly quantify the three-party entanglement for Greenberger-Horne-Zeilinger-type states? will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-118974