  This paper introduces the first functional model of a quantum parliament that
is dominated by two parties or coalitions, and may or may not contain
independent legislators. We identify a single crucial parameter, aptly named
\emph{free will radius}, that can be used as a practical measure of the
quantumness of the parties and the parliament as a whole. The free will radius
used by the two parties determines the degree of independence that is afforded
to the representatives of the parties. Setting the free will radius to zero
degrades the quantum parliament to a classical one. On the other hand, setting
the free will radius to its maximum value $1$, makes the representatives
totally independent. Moreover, we present a quantum circuit with which we
simulate in Qiskit the operation of the quantum parliament under various
scenarios. The experimental results allow to arrive at some novel and
fundamental conclusions that, we believe, provide new insights on the operation
and the traits of a possible future quantum parliament. Finally, we propose the
novel game of ``Passing the Bill,'' which captures the operation of the quantum
parliament and basic options available to the leadership of the two parties.
