Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal tomography with entanglement witnesses   We introduce informationally complete measurements whose outcomes are
entanglement witnesses and so answer the question of how many witnesses need to
be measured to decide whether an arbitrary state is entangled or not: as many
as the dimension of the state space. The optimized witness-based measurement
can provide exponential improvement with respect to witness efficiency in
high-dimensional Hilbert spaces, at the price of a reduction in the tomographic
efficiency. We describe a systematic construction, and illustrate the matter at
the example of two qubits.

32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex