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• W2073452405 abstract "We consider the problem of deciding if some multiparty entangled pure state can be converted, with a nonzero success probability, into a given bipartite pure state shared between two specified parties 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 our question. As a result, a given transformation is possible if and only if it is generically attainable by a simple randomized protocol." @default.
• W2073452405 created "2016-06-24" @default.
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• W2073452405 date "2010-05-10" @default.
• W2073452405 modified "2023-10-17" @default.
• W2073452405 title "Multipartite-to-bipartite entanglement transformations and polynomial identity testing" @default.
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• W2073452405 doi "https://doi.org/10.1103/physreva.81.052310" @default.
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