  Few of the known quantum algorithms can be reliably executed on a quantum
computer. Therefore, as an extension, we propose a Parallel Quantum Hough
transform (PQHT) algorithm that we execute on a quantum computer. We give its
implementation and discuss the results obtained. The PQHT algorithm is
conceptually divided into a parallel rotation stage consisting of a set of
connected programmable $\texttt{RZ}$ rotation gates, with adjustable node
connections of coincidence detectors realized with quantum logic gates. The
modules were developed using IBM Quantum Composer and tested using the IBM QASM
simulator. Finally, the modules were programmed using the Python package Qiskit
and the jobs were sent to distributed IBM Q System One quantum computers. The
successful run results on Fraunhofer Q System One in Ehningen will be presented
as a proof of concept for the PQHT algorithm.
