Deterministic Transformations of Multipartite Entangled States with Tensor Rank 2

Details Deterministic Transformations of Multipartite Entangled States with Tensor Rank 2 Deterministic Transformations of Multipartite Entangled States with Tensor Rank 2

2009-07-23

arxiv.org/abs/0907.3960v3

Phys. Rev. A 81, 012317 (2010)

Physics

Quantum Physics

27 pages, 1 figure; added new references and improved the presentation

Scientific paper

10.1103/PhysRevA.81.012317

Transformations involving only local operations assisted with classical communication are investigated for multipartite entangled pure states having tensor rank 2. All necessary and sufficient conditions for the possibility of deterministically converting truly multipartite, rank-2 states into each other are given. Furthermore, a chain of local operations that successfully achieves the transformation has been identified for all allowed transformations. The identified chains have two nice features: (1) each party needs to carry out at most one local operation and (2) all of these local operations are also deterministic transformations by themselves. Finally, it is found that there are disjoint classes of states, all of which can be identified by a single real parameter, which remain invariant under deterministic transformations.

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