Title
QIPC: A novel quantum representation model for polar coordinate images
Abstract
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.
Year
DOI
Venue
2022
10.1007/s11128-022-03517-6
Quantum Information Processing
Keywords
DocType
Volume
Bit-plane, Quantum images, Polar coordinates
Journal
21
Issue
ISSN
Citations 
5
1573-1332
0
PageRank 
References 
Authors
0.34
16
4
Name
Order
Citations
PageRank
Xi Chen133370.76
Zhihao Liu26016.13
Hanwu Chen310023.02
Chengzhuo Xu400.34