Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Importance sampling of randomized measurements for probing entanglement   We show that combining randomized measurement protocols with importance
sampling allows for characterizing entanglement in significantly larger quantum
systems and in a more efficient way than in previous work. A drastic reduction
of statistical errors is obtained using classical techniques of
machine-learning and tensor networks using partial information on the quantum
state. In present experimental settings of engineered many-body quantum systems
this effectively doubles the (sub-)system sizes for which entanglement can be
measured. In particular, we show an exponential reduction of the required
number of measurements to estimate the purity of product states and GHZ states.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph