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arXiv · 1902.08853

A Characterization For Entangled Vectors

Stan Gudder
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Abstract

This article presents a simple characterization for entangled vectors in a finite dimensional Hilbert space $H$. The characterization is in terms of the coefficients of an expansion of the vector relative to an orthonormal basis for $H$. This simple necessary and sufficient condition contains a restriction and we also present a more complicated condition that is completely general. Although these characterizations apply to bipartite systems, we show that generalizations to multipartite systems are also valid.

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Stan Gudder. 2019-02-23. A Characterization For Entangled Vectors. https://arxiv.org/abs/1902.08853

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