Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interconvertibility and irreducibility of permutation symmetric three
  qubit pure states   A novel use of Majorana geometric representation brings out distinct
entanglement families of permutation symmetric states of qubits. The
paradigmatic W and GHZ (Greenberger-Horne-Zeilinger) states of three qubits
respectively contain two and three independent Majorana spinors. Another unique
state with three distinct Majorana spinors -- constructed through a permutation
symmetric superposition of two up qubits and one down qubit (W state) and its
obverse state Wbar) exhibits genuine three-party entanglement, which is robust
under loss of a qubit. While the GHZ state has irreducible correlations and
cannot be determined from its parts, we show here that the correlation
information of the W-superposition state is imprinted uniquely in its two party
reduced states. This striking example sheds light on the contrasting
irreducibility features of interconvertible states.

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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: cmp-lg
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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: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph