Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement negativity of fermions: monotonicity, separability
  criterion, and classification of few-mode states   We study quantum information aspects of the fermionic entanglement negativity
recently introduced in [Phys. Rev. B 95, 165101 (2017)] based on the fermionic
partial transpose. In particular, we show that it is an entanglement monotone
under the action of local quantum operations and classical
communications--which preserves the local fermion-number parity-- and satisfies
other common properties expected for an entanglement measure of mixed states.
We present fermionic analogs of tripartite entangled states such as W and
Greenberger-Horne-Zeilinger states and compare the results of bosonic and
fermionic partial transpose in various fermionic states, where we explain why
the bosonic partial transpose fails in distinguishing separable states of
fermions. Finally, we explore a set of entanglement quantities which
distinguish different classes of entangled states of a system with two and
three fermionic modes. In doing so, we prove that vanishing entanglement
negativity is a necessary and sufficient condition for separability of $N\geq
2$ fermionic modes with respect to the bipartition into one mode and the rest.
We further conjecture that the entanglement negativity of inseparable states
which mix local fermion-number parity is always non-vanishing.

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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys