Abstract
Quantum image processing has been a hot topic as a consequence of the development of quantum computation. Many quantum image processing algorithms have been proposed, whose efficiency are theoretically higher than their corresponding classical algorithms. However, most of the quantum schemes do not consider the problem of measurement. If users want to get the results, they must measure the final state many times to get all the pixels’ values. Moreover, executing the algorithm one time, users can only measure the final state one time. In order to measure it many times, users must execute the algorithms many times. If the measurement process is taken into account, whether or not the algorithms are really efficient needs to be reconsidered. In this paper, we try to solve the problem of measurement and give a quantum image location algorithm. This scheme modifies the probability of pixels to make the target pixel to be measured with higher probability. Furthermore, it only has linear complexity.
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This work is supported by the National Natural Science Foundation of China under Grants No. 61502016, and the Graduate Technology Fund of BJUT under Grants No. ykj-2015-11719.
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Jiang, N., Dang, Y. & Zhao, N. Quantum Image Location. Int J Theor Phys 55, 4501–4512 (2016). https://doi.org/10.1007/s10773-016-3073-0
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DOI: https://doi.org/10.1007/s10773-016-3073-0