Visible to the public Quantum Grover Attack on the Simplified-AES

TitleQuantum Grover Attack on the Simplified-AES
Publication TypeConference Paper
Year of Publication2018
AuthorsAlmazrooie, Mishal, Abdullah, Rosni, Samsudin, Azman, Mutter, Kussay N.
Conference NameProceedings of the 2018 7th International Conference on Software and Computer Applications
PublisherACM
Conference LocationNew York, NY, USA
ISBN Number978-1-4503-5414-1
Keywordsblack box encryption, Block Cipher, composability, Grover attack, Metrics, pubcrawl, quantum computing security, Quantum cryptanalysis, Quantum simulation, Resiliency, symmetric cryptography
Abstract

In this work, a quantum design for the Simplified-Advanced Encryption Standard (S-AES) algorithm is presented. Also, a quantum Grover attack is modeled on the proposed quantum S-AES. First, quantum circuits for the main components of S-AES in the finite field F2[x]/(x4 + x + 1), are constructed. Then, the constructed circuits are put together to form a quantum version of S-AES. A C-NOT synthesis is used to decompose some of the functions to reduce the number of the needed qubits. The quantum S-AES is integrated into a black-box queried by Grover's algorithm. A new approach is proposed to uniquely recover the secret key when Grover attack is applied. The entire work is simulated and tested on a quantum mechanics simulator. The complexity analysis shows that a block cipher can be designed as a quantum circuit with a polynomial cost. In addition, the secret key is recovered in quadratic speedup as promised by Grover's algorithm.

URLhttp://doi.acm.org/10.1145/3185089.3185122
DOI10.1145/3185089.3185122
Citation Keyalmazrooie_quantum_2018