Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum computing of semiclassical formulas   We show that semiclassical formulas such as the Gutzwiller trace formula can
be implemented on a quantum computer more efficiently than on a classical
device. We give explicit quantum algorithms which yield quantum observables
from classical trajectories, and which alternatively test the semiclassical
approximation by computing classical actions from quantum evolution. The gain
over classical computation is in general quadratic, and can be larger in some
specific cases.

12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org