Abstract
Quantum image processing will be an important issue in the age of quantum computers. Quantum image processing generally includes quantum image representations, quantum image processing algorithms, and quantum image measurement. Among them, quantum image representation is a very important part of quantum image processing. Therefore, it is of great significance for quantum image processing to study the representation of quantum images. First, we elaborate on the main quantum image representations and analyze, compare and summarize them. This paper focuses on the definition of these quantum image representations the preparation of quantum images and the number of quantum bits required as well as the computational complexity. Then, this paper analyzes, compares and summarizes the similarities and differences between these quantum image representations. Finally, the challenges and future development in the field of quantum image processing are summarized and forecasted. This work will help researchers to understand the advances related to quantum image representations in the field of quantum image processing and is therefore of some reference value.
Highlights
Different quantum images can achieve different quantum image processing purposes
Some scholars have carried out relevant analyses and discussions on quantum image representation, which has promoted the development of this field [1]
QUANTUM IMAGE REPRESENTATION AND ITS SUMMARY Quantum computing is a product of the combination of quantum mechanics and computer science, and it is a new computational paradigm that has emerged as a possible solution to the Moore's Law failure problem
Summary
Different quantum images can achieve different quantum image processing purposes. Based on a variety of quantum physical devices, the complication and representation of quantum images have become very urgent research in the field of quantum image processing. Le et al proposed and revised the FRQI (Flexible Representation of Quantum Images) [3, 4] These three representations have become classics in the field of quantum image and have performed well in image storage and acquisition [5, 6]. The FRQI can realize the geometric transformation and color transformation of images at the same time It has attracted the attention of many research fields, such as image database retrieval, quantum watermarking technology, quantum movie technology, and other application fields [7,8,9,10,11,12,13]. In the field of quantum images, how to construct the corresponding quantum image representation to store the image information carried by the spectral energy is the most basic step. The above quantum image representations are mainly introduced
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