Computed tomography has been developed as a non-destructive technique for observing internal images of samples. It was difficult to obtain a clean CT image due to various artifacts generated during scanning and limitations of backprojection algorithms. Recently, an iterative optimization algorithm has been developed that uses the entire sinogram to make small errors in various artifacts. In this paper, we introduce a method of representing CT images using a combination of qubits. The undetermined CT image can obtain a sinogram represented by a combination of qubits through Radon transform. An energy-optimized model that can be computed on quantum computers finds a combination of qubits that minimizes the difference between the positions of the two sinograms. Finally, the determined qubit combination can represent the internal structure of a sample by energy optimization. We tested new algorithm with a small image sample in a quantum annealer D-Wave 2000Q and a simulator for the gated model quantum computer.