Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Threshold theorem in isolated quantum dynamics with local stochastic
  control errors   We investigate the effect of local stochastic control errors in the
time-dependent Hamiltonian on isolated quantum dynamics. The control errors are
formulated as time-dependent stochastic noise in the Schr\"odinger equation.
For any local stochastic control errors, we establish a threshold theorem that
provides a sufficient condition to obtain the target state, which should be
determined in noiseless isolated quantum dynamics, as a relation between the
number of measurements required and noise strength. The theorem guarantees that
if the sum of the noise strengths is less than the inverse of computational
time, the target state can be obtained through a constant-order number of
measurements. If the opposite is true, the required number of measurements
increases exponentially with computational time. Our threshold theorem can be
applied to any isolated quantum dynamics such as quantum annealing, adiabatic
quantum computation, the quantum approximate optimization algorithm, and the
quantum circuit model.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg