Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal steering of matrix product states and quantum many-body scars   Ongoing development of quantum simulators allows for a progressively finer
degree of control of quantum many-body systems. This motivates the development
of efficient approaches to facilitate the control of such systems and enable
the preparation of non-trivial quantum states. Here we formulate an approach to
control quantum systems based on matrix product states (MPS). We compare
counter-diabatic and leakage minimization approaches to the so-called local
steering problem, that consists in finding the best value of the control
parameters for generating a unitary evolution of the specific MPS state in a
given direction. In order to benchmark the different approaches, we apply them
to the generalization of the PXP model known to exhibit coherent quantum
dynamics due to quantum many-body scars. Finally, we perform the first steps
towards global trajectory optimization and demonstrate entanglement steering
capabilities in the generalized PXP model.

19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int