Description Abilities of Quantum Image States and Their Applications

There are three distinct types of quantum image representations: amplitude-based states, phase-based states, and index-based states. All of these states are proposed in relation to the various physical information carriers and have been extensively used in previous research. However, the correlations hidden in these states are not analyzed, nor is the optimal state for image representation determined. A new assessment standard, namely description ability, is proposed to address this issue. The relationships between description abilities and these states are discussed in terms of this criterion under the multiple correlated conditions of state preparations, state transforms, and coloring abilities. The objective of differentiating and determining which state is the optimal choice for the state representation of quantum images could be accomplished using these numerical relations.