Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive estimation of quantum observables   The accurate estimation of quantum observables is a fundamental task in
science. Here, we introduce a measurement scheme that adaptively modifies the
estimator based on previously obtained data. Our algorithm, which we call
AEQuO, allows for overlap in the subsets of Pauli operators that are measured
simultaneously, thereby maximizing the amount of information gathered in the
measurements. The adaptive estimator comes in two variants: a greedy
bucket-filling algorithm with good performance for small problem instances, and
a machine learning-based algorithm with more favorable scaling for larger
instances. The measurement configuration determined by these subroutines is
further post-processed in order to lower the error on the estimator. We test
our protocol on chemistry Hamiltonians as well as many-body Hamiltonians with
different interaction ranges. In all cases, our algorithm provides error
estimates that improve on state-of-the-art methods based on various grouping
techniques or randomized measurements.

34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys