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Nature Photonics

Imaging polarization

Oliver Graydon

Published Apr 29, 2013• 2 citations
Publisher
DOI
10.1038/nphoton.2013.126

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Quantum image representation has a significant impact in quantum image processing. In this paper, a bit-plane representation for log-polar quantum images (BRLQI) is proposed, which utilizes (n+4)(n+4)(n+4) or (n+6)(n+6)(n+6) qubits to store and process a grayscale or RGB color image of 2n2^n2n pixels. Compared to a quantum log-polar image (QUALPI), the storage capacity of BRLQI improves 16 times. Moreover, several quantum operations based on BRLQI are proposed, including color information complement operation, bit-planes reversing operation, bit-planes translation operation and conditional exchange operations between bit-planes. Combining the above operations, we designed an image scrambling circuit suitable for the BRLQI model. Furthermore, comparison results of the scrambling circuits indicate that those operations based on BRLQI have a lower quantum cost than QUALPI. In addition, simulation experiments illustrate that the proposed scrambling algorithm is effective and efficient.
This paper proposes an encryption scheme, where bit-XOR operation between the rows of quantum polarization angles 0°, 45°, 90°, 135° and a key generated by quantum polarization angles is done. Then the bit-XORed rows are swapped from 0°to 45°and 90° to 135°. Then the image is divided into four blocks and bit-XOR operation is performed between each tile and a key generated using quantum polarization angles. Then the tiles are concatenated to form an image. The resultant image is encrypted by random permutation and bit-XOR operation is performed with randomly generated key to form the final encrypted image.