Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended necessary condition for local operations and classical
  communication: Tight bound for all measurements   We give a necessary condition that a separable measurement can be implemented
by local quantum operations and classical communication (LOCC) in any finite
number of rounds of communication, generalizing and strengthening a result
obtained previously. That earlier result involved a bound that is tight when
the number of measurement operators defining the measurement is relatively
small. The present results generalize that bound to one that is tight for any
finite number of measurement operators, and we also provide an extension which
holds when that number is infinite. We apply these results to the famous
example on a $3\times3$ system known as "domino states", which were the first
demonstration of nonlocality without entanglement. Our new necessary condition
provides an additional way of showing that these states cannot be perfectly
distinguished by (finite-round) LOCC. It directly shows that this conclusion
also holds for their cousins, the rotated domino states. This illustrates the
usefulness of the present results, since our earlier necessary condition, which
these results generalize, is not strong enough to reach a conclusion about the
domino states.

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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
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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: nucl-th
3
The categories of this paper are: physics