Multipartite-to-bipartite entanglement transformations and polynomial identity testing. Chitambar, E., Duan, R., & Shi, Y. Physical Review A - Atomic, Molecular, and Optical Physics, 81(5):1-4, 2010.
Multipartite-to-bipartite entanglement transformations and polynomial identity testing [pdf]Paper  doi  abstract   bibtex   2 downloads  
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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