Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-block ADMM Heuristics for Mixed-Binary Optimization on Classical
  and Quantum Computers   Solving combinatorial optimization problems on current noisy quantum devices
is currently being advocated for (and restricted to) binary polynomial
optimization with equality constraints via quantum heuristic approaches. This
is achieved using, e.g., the variational quantum eigensolver (VQE) and the
quantum approximate optimization algorithm (QAOA). We present a
decomposition-based approach to extend the applicability of current approaches
to "quadratic plus convex" mixed binary optimization (MBO) problems, so as to
solve a broad class of real-world optimization problems. In the MBO framework,
we show that the alternating direction method of multipliers (ADMM) can split
the MBO into a binary unconstrained problem (that can be solved with quantum
algorithms), and continuous constrained convex subproblems (that can be solved
cheaply with classical optimization solvers). The validity of the approach is
then showcased by numerical results obtained on several optimization problems
via simulations with VQE and QAOA on the quantum circuits implemented in
Qiskit, an open-source quantum computing software development framework.

19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex