Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Number of Elements Needed in a POVM Attaining the Accessible
  Information   We investigate a symmetric set of three quantum states in three dimensions
having interesting properties, which we call the lifted trine states. We show
that for the ensemble consisting of the three lifted trine states taken with
equal probabilities, the POVM measurement realizing the accessible information
must contain six projectors, giving a counterexample to a conjecture of
Levitin.

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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: econ
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex