Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alternative Decomposition of Two-Qutrit Pure States and Its Relation
  with Entanglement Invariants   Based on maximally entangled states in the full- and sub-spaces of two
qutrits, we present an alternative decomposition of two-qutrit pure states in a
form $|\Psi>=\frac{p_{1}}{\sqrt{3}}(|00>+|11>+|22>)
+\frac{p_{2}}{\sqrt{2}}(|01>+|12>)+ p_{3}e^{i\theta}|02>$. Similar to the
Schmidt decomposition, all two-qutrit pure states can be transformed into the
alternative decomposition under local unitary transformations, and the
parameter $p_1$ is shown to be an entanglement invariant.

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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys