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arXiv · 1602.01425

Geometric transformations of multidimensional color images based on NASS

Ping Fan·Ri-Gui Zhou·Naihuan Jing·Hai-Sheng Li
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Abstract

We present quantum algorithms to realize geometric transformations (two-point swappings, symmetric flips, local flips, orthogonal rotations, and translations) based on an $n$-qubit normal arbitrary superposition state (NASS). These transformations are implemented using quantum circuits consisting of basic quantum gates, which are constructed with polynomial numbers of single-qubit and two-qubit gates. Complexity analysis shows that the global operators (symmetric flips, local flips, orthogonal rotations) can be implemented with $O(n)$ gates. The proposed geometric transformations are used to facilitate applications of quantum images with low complexity.

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Ping Fan, Ri-Gui Zhou, Naihuan Jing, Hai-Sheng Li. 2016-02-03. Geometric transformations of multidimensional color images based on NASS. https://doi.org/10.1016/j.ins.2015.12.024

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