Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cavity approach to variational quantum mechanics   A local and distributive algorithm is proposed to find an optimal trial
wave-function minimizing the Hamiltonian expectation in a quantum system. To
this end, the quantum state of the system is connected to the Gibbs state of a
classical system with the set of couplings playing the role of variational
parameters. The average energy is written within the replica-symmetric
approximation and the optimal parameters are obtained by a heuristic message
passing algorithm based on the Bethe approximation. The performance of this
approximate algorithm depends on the structure and quality of the trial
wave-functions; starting from a classical system of isolated elements, i.e.
mean-field approximation, and improving on that by considering the higher order
many-body interactions. The method is applied to some disordered quantum Ising
models in transverse fields and the results are compared with the exact ones
for small systems.

10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph