Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence between classical epidemic model and non-dissipative and
  dissipative quantum tight-binding model   The equivalence between classical epidemic model and nondissipative and
dissipative quantum tight-binding model is derived. Classical epidemic model
can reproduce the quantum entanglement emerging in the case of
electrostatically coupled qubits described by von-Neumann entropy both in
non-dissipative and dissipative case. The obtained results shows that quantum
mechanical phenomena might be almost entirely simulated by classical
statistical model. It includes the quantum like entanglement and superposition
of states. Therefore coupled epidemic models expressed by classical systems in
terms of classical physics can be the base for possible incorporation of
quantum technologies and in particular for quantum like computation and quantum
like communication. The classical density matrix is derived and described by
the equation of motion in terms of anticommutator. Existence of Rabi like
oscillations is pointed in classical epidemic model. Furthermore the existence
of Aharonov-Bohm effect in quantum systems can also be reproduced by the
classical epidemic model. Every quantum system made from quantum dots and
described by simplistic tight-binding model by use of position-based qubits can
be effectively described by classical model with very specific structure of S
matrix that has twice bigger size as it is the case of quantum matrix
Hamiltonian. Obtained results partly question fundamental and unique character
of quantum mechanics and are placing ontology of quantum mechanics much in the
framework of classical statistical physics what can bring motivation for
emergence of other fundamental theories bringing suggestion that quantum
mechanical is only effective and phenomenological but not fundamental picture
of reality.

37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg