Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of control noise effects in optimal quantum unitary
  dynamics   This work develops measures for quantifying the effects of field noise upon
targeted unitary transformations. Robustness to noise is assessed in the
framework of the quantum control landscape, which is the mapping from the
control to the unitary transformation performance measure (quantum gate
fidelity). Within that framework, a new geometric interpretation of stochastic
noise effects naturally arises, where more robust optimal controls are
associated with regions of small overlap between landscape curvature and the
noise correlation function. Numerical simulations of this overlap in the
context of quantum information processing reveal distinct noise spectral
regimes that better support robust control solutions. This perspective shows
the dual importance of both noise statistics and the control form for
robustness, thereby opening up new avenues of investigation on how to mitigate
noise effects in quantum systems.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th