Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realizing a dynamical topological phase in a trapped-ion quantum
  simulator   Nascent platforms for programmable quantum simulation offer unprecedented
access to new regimes of far-from-equilibrium quantum many-body dynamics in
(approximately) isolated systems. Here, achieving precise control over quantum
many-body entanglement is an essential task for quantum sensing and
computation. Extensive theoretical work suggests that these capabilities can
enable dynamical phases and critical phenomena that exhibit
topologically-robust methods to create, protect, and manipulate quantum
entanglement that self-correct against large classes of errors. However, to
date, experimental realizations have been confined to classical (non-entangled)
symmetry-breaking orders. In this work, we demonstrate an emergent dynamical
symmetry protected topological phase (EDSPT), in a quasiperiodically-driven
array of ten $^{171}\text{Yb}^+$ hyperfine qubits in Honeywell's System Model
H1 trapped-ion quantum processor. This phase exhibits edge qubits that are
dynamically protected from control errors, cross-talk, and stray fields.
Crucially, this edge protection relies purely on emergent dynamical symmetries
that are absolutely stable to generic coherent perturbations. This property is
special to quasiperiodically driven systems: as we demonstrate, the analogous
edge states of a periodically driven qubit-array are vulnerable to
symmetry-breaking errors and quickly decohere. Our work paves the way for
implementation of more complex dynamical topological orders that would enable
error-resilient techniques to manipulate quantum information.

30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
2
The categories of this paper are: math
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org