QBRBS: Quantum Block Representation by Basis States

A generalization of the new quantum block representation by basis states (QBRBS) is presented and analyzed. This representation facilitates the manipulation of signals by providing a flexible block size to store signal elements. Furthermore, QBRBS uses quantum superposition and entangled qubits to store signal values on the basis states of qubit registers instead of probability amplitude, enabling accurate information retrieval after finite measurements. A detailed analysis exposed a polynomial growth in qubit complexity and decreased quantum complexity on the presented quantum block format. The geometric, statistical, element-value, element-value block, and block position operations are described. Simulation experiments show the feasibility and capabilities of the block representation to achieve data hiding applications. A quantum steganography scheme exploiting the QBRBS features is presented. Finally, the quantum circuit and simulation verification are performed using Qiskit.