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arXiv · 0908.0440

Tripartite to Bipartite Entanglement Transformations and Polynomial Identity Testing

Eric Chitambar·Runyao Duan·Yaoyun Shi
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Abstract

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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Eric Chitambar, Runyao Duan, Yaoyun Shi. 2009-08-04. Tripartite to Bipartite Entanglement Transformations and Polynomial Identity Testing. https://doi.org/10.1103/physreva.81.052310

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