Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical formula connecting entangled state and the closest
  disentangled state   The separable state closest to a given entangled state in the relative
entropy measure is called the closest disentangled state. We provide an
analytical formula connecting the entangled state and the closest disentangled
state in two qubits. Using this formula, when any disentangled state ($\sigma$)
located at the entangle-disentangle boundary is given, entangled states to
which $\sigma$ is closest can be obtained analytically. Further, this formula
naturally defines the direction normal to the boundary surface. The direction
is uniquely determined by $\sigma$ in almost all cases.

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The categories of this paper are: cs
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: physics
19
The categories of this paper are: eess
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The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ