Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deterministic Local Conversion of Incomparable States by Collective LOCC   Incomparability of pure bipartite entangled states under deterministic LOCC
is a very strange phenomena. We find two possible ways of getting our desired
pure entangled state which is incomparable with the given input state, by
collective LOCC with certainty. The first one is by providing some pure
entanglement through the lower dimensional maximally-entangled states or using
further less amount of entanglement and the next one is by collective operation
on two pairs which are individually incomparable. It is quite surprising that
we are able to achieve maximally entangled states of any Schmidt rank from a
finite number of $2\times 2$ pure entangled states only by deterministic LOCC.
We provide general theory for the case of $3\times3$ system of incomparable
states by the above processes where incomparability seems to be the most
hardest one.

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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: cs
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex