Tripartite to Bipartite Entanglement Transformations and Polynomial Identity Testing

Details Tripartite to Bipartite Entanglement Transformations and Polynomial Identity Testing Tripartite to Bipartite Entanglement Transformations and Polynomial Identity Testing

2009-08-04

arxiv.org/abs/0908.0440v1

Phys. Rev. A 81, 052310 (2010)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.81.052310

We consider the problem of deciding if a given three-party entangled pure state can be converted, with a non-zero success probability, into a given two-party pure state through local quantum operations and classical communication. We show that this question is equivalent to the well-known computational problem of deciding if a multivariate polynomial is identically zero. Efficient randomized algorithms developed to study the latter can thus be applied to the question of tripartite to bipartite entanglement transformations.

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