Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Majorization in General Grover's Algorithms: Efficient vs Non-efficient
  cases   We study the characterisation of efficient and non-efficient families of
Grover's algorithms according to the majorization principle. We develop a
geometrical interpretation based on the parameters that appears on these
algorithms. Using this interpretation we observe a step-by-step majorization in
all efficient Grover's algorithms, whereas the non-efficient Grover's
algorithms fail to abide by this majorization principle. These Majorization
results are first obtained from numerical calculations. Motivated by these
numerical results, we also obtained an analytical demonstration. Finally, the
geometrical interpretation found for these parameters is used to obtain
additional results of Grover's algorithms that improves our understanding of
how they work.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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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: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph