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arXiv · 1206.1119

Discrete Fourier-based Correlations for Entanglement Detection

Ryo Namiki·Yuuki Tokunaga
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Abstract

We introduce two forms of correlations on two $d$-level (qudit) systems for entanglement detection. The correlations can be measured via experimentally tractable two local measurement settings and their separable bounds are determined by discrete Fourier-based uncertainty relations. They are useful to estimate lower bounds of the Schmidt number in order to clarify generation of a genuine qudit entanglement. We also present inseparable conditions for multi-qudit systems associated with the qudit stabilizer formalism as another role of the correlations on the inseparability problem.

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Ryo Namiki, Yuuki Tokunaga. 2012-06-06. Discrete Fourier-based Correlations for Entanglement Detection. https://doi.org/10.1103/physrevlett.108.230503

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