Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hermitian Schmidt Decomposition and Twin Observables of Bipartite Mixed
  States   It is shown that for each mixed state there exists a Schmidt (super state
vector) decomposition in terms of Hermitian operators. Its utilization for
finding all twins is illustrated in full detail in the case of the two
spin-one-half-particle states with maximally disordered subsystems (mixtures of
Bell states).

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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: physics