Journal
PHYSICAL REVIEW A
Volume 69, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.69.012101
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We classify multipartite entangled states in the Hilbert space H=C-2 x C-2 x C-n (ngreater than or equal to4), for example, the four-qubit system distributed over three parties, under local filtering operations. We show that there exist nine essentially different classes of states, giving rise to a five-graded partially ordered structure, including the celebrated Greenberger-Home-Zeilinger and W classes of three qubits. In particular, all 2 X 2 X n states can be deterministically prepared from one maximally entangled state, and some applications such as entanglement swapping are discussed.
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