Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal weak value measurements: Pure states   We apply the notion of \emph{optimality} of measurements for state
determination(tomography) as originally given by Wootters and Fields to
\emph{weak value tomography} of \emph{pure states}. They defined measurements
to be optimal if they 'minimised' the effects of statistical errors. For
technical reasons they actually maximised the state averaged information,
precisely quantified as the negative logarithm of 'error volume'. In this paper
we optimise both the state averaged information as well as error volumes. We
prove, for Hilbert spaces of arbitrary (finite) dimensionality, that varieties
of weak value measurements are optimal when the post-selected bases are
\emph{mutually unbiased} with respect to the eigenvectors of the observable
being measured. We prove a number of important results about the geometry of
state spaces when expressed through the weak values as coordinates. We derive
an expression for the Ka\"ehler potential for the N-dimensional case with the
help of which we give an exact treatment of the arbitrary-spin case.

16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an