Multi-channel quantum image representation based on phase transform and elementary transformations

This paper proposed a novel representation for color image on quantum computer and further explored the basic color and geometric transformations on it. First, a multi-channel representation for color quantum image based on phase transform (CQIPT) is introduced in the form of a normalized state which captures information about colors RGB, transparency and positions. Then, a constructive polynomial preparation is introduced for CQIPT. Finally, the elementary transformations on CQIPT such as color channels swapping, one color operations, transparency adjustments and geometric transformations are researched. Analysis shows that the proposed CQIPT is more efficient than other representations for many phase-encoding based quantum image processing.