2019/05/31 by Gokhan Torun, Ali Yildiz · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physreva.100.022320
published as Phys. Rev. A 100, 022320 (2019) · 9 pages, 4 figures. Published version!
arxiv created 2019/08/16 · arxiv updated 2019/08/19
The states of three-qubit systems split into two inequivalent types of genuine tripartite entanglement, namely the Greenberger-Horne-Zeilinger (GHZ) type and the W type. A state belonging to one of these classes can be stochastically transformed only into a state within the same class by local operations and classical communications. We provide local quantum operations, consisting of the most general two-outcome measurement operators, for the deterministic transformations of three-qubit pure states in which the initial and the target states are in the same class. We explore these transformations, originally having standard GHZ and standard W states, under the local measurement operations carried out by a single party and p (p=2,3) parties (successively). We find a notable result that the standard GHZ state cannot be deterministically transformed to a GHZ-type state in which all its bipartite entanglements are nonzero, i.e., a transformation can be achieved with unit probability when the target state has at least one vanishing bipartite concurrence.