4.7 Article

Image storage, retrieval, compression and segmentation in a quantum system

Journal

QUANTUM INFORMATION PROCESSING
Volume 12, Issue 6, Pages 2269-2290

Publisher

SPRINGER
DOI: 10.1007/s11128-012-0521-5

Keywords

Quantum image processing; Image storage and retrieval; Image compression; Image segmentation; Quantum search algorithms; Quantum computation

Funding

  1. Key Project of Chinese Ministry of Education [212094]
  2. Humanities and Social Sciences planning project of Ministry of Education [12YJAZH050]
  3. Foundation of Talent of Jinggang of Jiangxi Province [20112BCB23014]
  4. Project of International Cooperation and Exchanges of Jiangxi Province [20112BDH80007]
  5. Project of International Cooperation and Exchanges of Nanchang City
  6. Education Bureau of Jiangxi Province [GJJ12311]

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A set of quantum states for colors and another set of quantum states for coordinates are proposed in this paper to represent colors and coordinates of the pixels in an image respectively. We design an algorithm by which an image of pixels and different colors is stored in a quantum system just using qubits. An algorithm for quantum image compression is proposed. Simulation result on the Lena image shows that compression ratio of lossless is 2.058. Moreover, an image segmentation algorithm based on quantum search quantum search which can find all solutions in the expected times in is proposed, where is the number of pixels and is the number of targets to be segmented.

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