QIPC: A novel quantum representation model for polar coordinate images

Quantum image representation plays an important role in quantum information processing. In this paper, a bit-plane representation of quantum images in polar coordinates (QIPC) is proposed. It uses ( h + 4 ) or ( h + 6 ) qubits to store grayscale or color images, respectively, with a total of 2 h pix...

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Bibliographic Details
Published in:Quantum information processing 2022-05, Vol.21 (5), Article 174
Main Authors: Chen, Xiao, Liu, Zhihao, Chen, Hanwu, Xu, Chengzhuo
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Summary:Quantum image representation plays an important role in quantum information processing. In this paper, a bit-plane representation of quantum images in polar coordinates (QIPC) is proposed. It uses ( h + 4 ) or ( h + 6 ) qubits to store grayscale or color images, respectively, with a total of 2 h pixels. QIPC increases the storage capacity by a factor of 16 over that of the quantum logarithmic image representation model (QUALPI) and addresses the issue that QUALPI is not suitable for representing color images. In addition, we have studied geometric transformations of polar coordinates, including horizontal flip transformations, vertical flip transformations and orthogonal rotations, and devised a quantum circuit for implementing geometric transformations. Comparing with other quantum image models in the Cartesian coordinate system, the complexity of orthogonal rotation operation implemented in this work is significantly reduced. Furthermore, the simulation results also demonstrate the effectiveness of the quantum circuit.
ISSN:1573-1332
1573-1332
DOI:10.1007/s11128-022-03517-6