Synthesis of Quantum Images Using Phase Rotation

TL;DR

This paper proposes a method for synthesizing quantum images using a phase rotation transform, involving phase extraction, rotation operator construction with overflow control, and application to achieve image synthesis, supported by numerical analysis.

Contribution

It introduces a novel phase rotation transform and overflow control mechanism for quantum image synthesis, with a detailed three-step process and numerical validation.

Findings

Effective phase rotation transform for quantum image synthesis

Overflow control mechanism reduces phase overflow issues

Numerical analysis confirms the method's efficiency and compression ratio

Abstract

A topic about synthesis of quantum images is proposed, and a specific phase rotation transform constructed is adopted to theoretically realise the synthesis of two quantum images. The synthesis strategy of quantum images comprises three steps, which include: (1) In the stage of phase extraction, we obtain the phases of the state of the quantum image by transforming the state of the quantum image to prepare the conditions for multiple phases extraction. (2) In the stage of rotation operator construction, the phases obtained in the first stage are used to construct the rotation operator where a mechanism is introduced into it to reduce the phase overflow. (3) In the stage of application of the rotation operator, we apply the operator constructed in the second stage on the state of quantum image to get a goal state. Additionally, numerical analysis gives the joint uncertainty relation of the pixel of the synthesized quantum image. The analysis result about the compression ratio indicates that the phase rotation transform and the overflow control mechanism are effective.