Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L0 regularization-based compressed sensing with quantum-classical hybrid
  approach   L0-regularization-based compressed sensing (L0-RBCS) has the potential to
outperform L1-regularization-based compressed sensing (L1-RBCS), but the
optimization in L0-RBCS is difficult because it is a combinatorial optimization
problem. To perform optimization in L0-RBCS, we propose a quantum-classical
hybrid system consisting of a quantum machine and a classical digital
processor. The coherent Ising machine (CIM) is a suitable quantum machine for
this system because this optimization problem can only be solved with a densely
connected network. To evaluate the performance of the CIM-classical hybrid
system theoretically, a truncated Wigner stochastic differential equation
(W-SDE) is introduced as a model for the network of degenerate optical
parametric oscillators, and macroscopic equations are derived by applying
statistical mechanics to the W-SDE. We show that the system performance in
principle approaches the theoretical limit of compressed sensing and this
hybrid system may exceed the estimation accuracy of L1-RBCS in actual
situations, such as in magnetic resonance imaging data analysis.

37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio