Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of Entanglement Measures and LOCC Maximized Quantum Fisher
  Information of General Two Qubit Systems   Entanglement has been studied extensively for unveiling the mysteries of
non-classical correlations between quantum systems. In the bipartite case,
there are well known measures for quantifying entanglement such as concurrence,
relative entropy of entanglement (REE) and negativity, which cannot be
increased via local operations. It was found that for sets of non-maximally
entangled states of two qubits, comparing these entanglement measures may lead
to different entanglement orderings of the states. On the other hand, although
it is not an entanglement measure and not monotonic under local operations, due
to its ability of detecting multipartite entanglement, quantum Fisher
information (QFI) has recently received an intense attraction generally with
entanglement in the focus. In this work, we revisit the state ordering problem
of general two qubit states. Generating a thousand random quantum states and
performing an optimization based on local general rotations of each qubit, we
calculate the maximal QFI for each state. We analyze the maximized QFI in
comparison with concurrence, REE and negativity and obtain new state orderings.
We show that there are pairs of states having equal maximized QFI but different
values for concurrence, REE and negativity and vice versa.

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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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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-lat
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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an