Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toward Reliability in the NISQ Era: Robust Interval Guarantee for
  Quantum Measurements on Approximate States   Quantum computation in noisy, near-term implementations holds promise across
multiple domains ranging from chemistry and many-body physics to machine
learning, optimization, and finance. However, experimental and algorithmic
shortcomings such as noise and decoherence lead to the preparation of imperfect
states which differ from the ideal state and hence lead to faulty measurement
outcomes, ultimately undermining the reliability of near-term quantum
algorithms. It is thus crucial to accurately quantify and bound these errors
via intervals which are guaranteed to contain the ideal measurement outcomes.
To address this desire, based on the formulation as a semidefinite program, we
derive such robustness intervals for the expectation values of quantum
observables using only their first moment and the fidelity to the ideal state.
In addition, to get tighter bounds, we take into account second moments and
extend bounds for pure states based on the non-negativity of Gram matrices to
mixed states, thus enabling their applicability in the NISQ era where noisy
scenarios are prevalent. Finally, we demonstrate our results in the context of
the variational quantum eigensolver (VQE) on noisy and noiseless simulations.

1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas