Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulating Time Evolution with Fully Optimized Single-Qubit Gates on
  Parameterized Quantum Circuits   We propose a novel method to sequentially optimize arbitrary single-qubit
gates in parameterized quantum circuits for simulating real and imaginary time
evolution. The method utilizes full degrees of freedom of single-qubit gates
and therefore can potentially obtain better performance. Specifically, it
simultaneously optimizes both the axis and the angle of a single-qubit gate,
while the known methods either optimize the angle with the axis fixed, or vice
versa. It generalizes the known methods and utilizes sinusoidal cost functions
parameterized by the axis and angle of rotation. Furthermore, we demonstrate
how it can be extended to optimize a set of parameterized two-qubit gates with
excitation-conservation constraints, which includes the Hop and the
Reconfigurable Beam Splitter gates. We perform numerical experiments showing
the power of the proposed method to find ground states of typical Hamiltonians
with quantum imaginary time evolution using parameterized quantum circuits. In
addition, we show the method can be applied to real time evolution and discuss
the tradeoff between its simulation accuracy and hardware efficiency.

9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph