Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Error probability analysis in quantum tomography: a tool for evaluating
  experiments   We expand the scope of the statistical notion of error probability, i.e., how
often large deviations are observed in an experiment, in order to make it
directly applicable to quantum tomography. We verify that the error probability
can decrease at most exponentially in the number of trials, derive the explicit
rate that bounds this decrease, and show that a maximum likelihood estimator
achieves this bound. We also show that the statistical notion of
identifiability coincides with the tomographic notion of informational
completeness. Our result implies that two quantum tomographic apparatuses that
have the same risk function, (e.g. variance), can have different error
probability, and we give an example in one qubit state tomography. Thus by
combining these two approaches we can evaluate, in a reconstruction independent
way, the performance of such experiments more discerningly.

9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex