Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Criterion for SLOCC Equivalence of Multipartite Quantum States   We study the stochastic local operation and classical communication (SLOCC)
equivalence for arbitrary dimensional multipartite quantum states. For
multipartite pure states, we present a necessary and sufficient criterion in
terms of their coefficient matrices. This condition can be used to classify
some SLOCC equivalent quantum states with coefficient matrices having the same
rank. For multipartite mixed state, we provide a necessary and sufficient
condition by means of the realignment of matrix. Some detailed examples are
given to identify the SLOCC equivalence of multipartite quantum states.

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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex