Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: State tomography via weak measurements   Recent work has revealed that the wave function of a pure state can be
measured directly and that complementary knowledge of a quantum system can be
obtained simultaneously by weak measurements. However, the original scheme
applies only to pure states, and it is not efficient because most of the data
are discarded by post-selection. Here, we propose tomography schemes for pure
states and for mixed states via weak measurements, and our schemes are more
efficient because we do not discard any data. Furthermore, we demonstrate that
any matrix element of a general state can be directly read from an appropriate
weak measurement. The density matrix (with all of its elements) represents all
that is directly accessible from a general measurement.

29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg