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- W3099647629 abstract "Both completely positive and completely copositive maps stay decomposable under tensor powers, i.e under tensoring the linear map with itself. But are there other examples of maps with this property? We show that this is not the case: Any decomposable map, that is neither completely positive nor completely copositive, will lose decomposability eventually after taking enough tensor powers. Moreover, we establish explicit bounds to quantify when this happens. To prove these results we use a symmetrization technique from the theory of entanglement distillation, and analyze when certain symmetric maps become non-decomposable after taking tensor powers. Finally, we apply our results to construct new examples of non-decomposable positive maps, and establish a connection to the PPT squared conjecture." @default.
- W3099647629 created "2020-11-23" @default.
- W3099647629 creator A5035114804 @default.
- W3099647629 date "2018-10-01" @default.
- W3099647629 modified "2023-09-24" @default.
- W3099647629 title "Decomposability of linear maps under tensor powers" @default.
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- W3099647629 doi "https://doi.org/10.1063/1.5045559" @default.
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