  This paper is devoted to the application of the mathematical formalism of
quantum mechanics to social (political) science. By using the quantum dynamical
equations we model the process of decision making in US elections. The crucial
point we attempt to make is that the voter's mental state can be represented as
a superposition of two possible choices for either republicans or democrats.
However, reality dictates a more complicated situation: typically a voter
participates in two elections, i.e. the congress and the presidential
elections. In both elections he/she has to decide between two choices. This
very feature of the US election system requires that the mental state is
represented by a 2-qubit state corresponding to the superposition of 4
different choices (e.g. for republicans in the congress; for the president as a
democrat). The main issue of this paper is to describe the dynamics of the
voters' mental states taking in account the mental and socio- political
environment. What is truly novel in this paper is that instead of using
Schr\"odinger's equation to describe the dynamics in an absence of
interactions, we here apply the quantum master equation. This equation
describes quantum decoherence, i.e., resolution from superposition to a
definite choice.
