Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement witnesses arising from Choi type positive linear maps   We construct optimal PPTES witnesses to detect $3\otimes 3$ PPT entangled
edge states of type $(6,8)$ constructed recently \cite{kye_osaka}. To do this,
we consider positive linear maps which are variants of the Choi type map
involving complex numbers, and examine several notions related to optimality
for those entanglement witnesses. Through the discussion, we suggest a method
to check the optimality of entanglement witnesses without the spanning
property.

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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an