Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The n-tangle of odd n qubits   Coffman, Kundu and Wootters presented the 3-tangle of three qubits in [Phys.
Rev. A 61, 052306 (2000)]. Wong and Christensen extended the 3-tangle to even
number of qubits, known as $n$-tangle [Phys. Rev. A 63, 044301 (2001)]. In this
paper, we propose a generalization of the 3-tangle to any odd $n$-qubit pure
states and call it the $n$-tangle of odd $n$ qubits. We show that the
$n$-tangle of odd $n$ qubits is invariant under permutations of the qubits, and
is an entanglement monotone. The $n$-tangle of odd $n$ qubits can be considered
as a natural entanglement measure of any odd $n$-qubit pure states.

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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-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: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin