Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Efficiency of Quantum Algorithms for Hamiltonian Simulation   We study the efficiency of algorithms simulating a system evolving with
Hamiltonian $H=\sum_{j=1}^m H_j$. We consider high order splitting methods that
play a key role in quantum Hamiltonian simulation. We obtain upper bounds on
the number of exponentials required to approximate $e^{-iHt}$ with error $\e$.
Moreover, we derive the order of the splitting method that optimizes the cost
of the resulting algorithm. We show significant speedups relative to previously
known results.

5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio