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SQR: a simple quantum representation of infrared images

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Abstract

A simple quantum representation (SQR) of infrared images is proposed based on the characteristic that infrared images reflect infrared radiation energy of objects. The proposed SQR model is inspired from the Qubit Lattice representation for color images. Instead of the angle parameter of a qubit to store a color as in Qubit Lattice representation, probability of projection measurement is used to store the radiation energy value of each pixel for the first time in this model. Since the relationship between radiation energy values and probability values can be quantified for the limited radiation energy values, it makes the proposed model more clear. In the process of image preparation, only simple quantum gates are used, and the performance comparison with the latest flexible representation of quantum images reveals that SQR can achieve a quadratic speedup in quantum image preparation. Meanwhile, quantum infrared image operations can be performed conveniently based on SQR, including both the global operations and local operations. This paper provides a basic way to express infrared images in quantum computer.

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Acknowledgments

This work is supported by the China Postdoctoral Science Foundation (2013M540837), the Specialized Research Fund for the Doctoral Program of Higher Education of China (20121102130001) and the National Natural Science Foundation of China (61103097).

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Authors and Affiliations

  1. School of Electronic and Information Engineering, Beihang University, Beijing, 100191, China

    Suzhen Yuan, Xia Mao, Yuli Xue, Lijiang Chen & Qingxu Xiong

  2. School of Physics and Electrical Engineering, Anyang Normal University, Anyang, 455002, China

    Suzhen Yuan

  3. Department of Human Sciences, Bergamo University, 24129 , Bergamo, Italy

    Angelo Compare

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  1. Suzhen Yuan
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  2. Xia Mao
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  3. Yuli Xue
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  4. Lijiang Chen
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  6. Angelo Compare
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Correspondence to Lijiang Chen.

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Yuan, S., Mao, X., Xue, Y. et al. SQR: a simple quantum representation of infrared images. Quantum Inf Process 13, 1353–1379 (2014). https://doi.org/10.1007/s11128-014-0733-y

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