A fast quantum mechanical algorithm for database search
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Quantum computation and quantum information
Quantum computation and quantum information
Logic Minimization Algorithms for VLSI Synthesis
Logic Minimization Algorithms for VLSI Synthesis
Algorithms for quantum computation: discrete logarithms and factoring
SFCS '94 Proceedings of the 35th Annual Symposium on Foundations of Computer Science
Proceedings of the 6th ACM conference on Computing frontiers
Quantum Circuit Simplification and Level Compaction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Strategies for designing geometric transformations on quantum images
Theoretical Computer Science
Watermarking and authentication of quantum images based on restricted geometric transformations
Information Sciences: an International Journal
Quantum walks: a comprehensive review
Quantum Information Processing
A watermark strategy for quantum images based on quantum fourier transform
Quantum Information Processing
A two-tier scheme for greyscale quantum image watermarking and recovery
International Journal of Innovative Computing and Applications
Image storage, retrieval, compression and segmentation in a quantum system
Quantum Information Processing
NEQR: a novel enhanced quantum representation of digital images
Quantum Information Processing
A dynamic watermarking scheme for quantum images using quantum wavelet transform
Quantum Information Processing
A novel quantum representation for log-polar images
Quantum Information Processing
Novel image encryption/decryption based on quantum Fourier transform and double phase encoding
Quantum Information Processing
Quantum Information Processing
Histogram-based segmentation of quantum images
Theoretical Computer Science
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A Flexible Representation of Quantum Images (FRQI) is proposed to provide a representation for images on quantum computers in the form of a normalized state which captures information about colors and their corresponding positions in the images. A constructive polynomial preparation for the FRQI state from an initial state, an algorithm for quantum image compression (QIC), and processing operations for quantum images are combined to build the whole process for quantum image processing on FRQI. The simulation experiments on FRQI include storing, retrieving of images and a detection of a line in binary images by applying quantum Fourier transform as a processing operation. The compression ratios of QIC between groups of same color positions range from 68.75 to 90.63% on single digit images and 6.67---31.62% on the Lena image. The FRQI provides a foundation not only to express images but also to explore theoretical and practical aspects of image processing on quantum computers.