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Quantum Information Processing

Asymmetric scaling scheme over the two dimensions of a quantum image

Ri‐Gui Zhou, Yu Cheng, Xiaofang Qi, Han Jen Yu, Nan Jiang

Published Sep 1, 2020• 9 citations
Publisher
DOI
10.1007/s11128-020-02837-9

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Applied Optics•May 23, 2016•34 citations
We report an optical asymmetric scheme for double-image encryption and authentication based on interference using sparse representation. We employ sparse representation and interference to process the Fresnel spectra related with the two original images, and then respectively acquire two ciphertexts and two pairs of private keys. Each original image possesses its corresponding two private keys. Furthermore, the decrypted image is compared with its corresponding plaintext with the aid of a nonlinear correlation for authentication. In the proposed scheme, any information concerning each primary image and comprising its silhouette cannot be recognized even though one, two, or even three masks of the two ciphertexts and two private keys are utilized for decryption. The Fresnel spectrum functions which have different diffraction distances enhance the security of the proposal significantly. Moreover, the proposal also avoids the crosstalk problem. The effectiveness and security of this proposed method are demonstrated via numerical simulations.
A scheme for asymmetric image encryption and authentication based on interference is proposed here by using sparse representation and random modulus decomposition. An original image is encoded into a complex value image in the Fresnel domain and then sparsely sampled to acquire the sparse spectrum. The sparse spectrum generates four phase-only masks using random modulus decomposition and the interference principle. No information concerning the original image, including its silhouette, can be extracted even if one, two, or three of the four phase-only masks are used for decryption. The parameters of random modulus decomposition provide additional keys for further strengthening the security of our scheme, and the four phase-only masks are all employed for decryption and authentication. Numerical simulations are used to verify the feasibility and security of this scheme.
Recently, double random phase encoding (DRPE) has been integrated with the photon counting (PC) imaging technique for the purpose of secure image authentication. In this scheme, the same key should be securely distributed and shared between the sender and receiver, but this is one of the most vexing problems of symmetric cryptosystems. In this study, we propose an efficient asymmetric image authentication scheme by combining the PC-DRPE and RSA algorithms, which solves key management and distribution problems. The retrieved image from the proposed authentication method contains photon-limited encrypted data obtained by means of PC-DRPE. Therefore, the original image can be protected while the retrieved image can be efficiently verified using a statistical nonlinear correlation approach. Experimental results demonstrate the feasibility of our proposed asymmetric image authentication method.