A novel quantum representation of fuzzy image and simulation on IBMQ.

Quantum image processing is the budding branch in image processing for processing images in the quantum computer with the aid of quantum mechanics and linear algebra. Also, in recent decades, fuzzy has played a vital role in image processing as digital images are acquired with different uncertainties due to various factors. Hence, combining fuzzy and quantum in image processing techniques can bring effective results and has significant applications in different fields. In order to process the fuzzy image in a quantum computer, a new approach is derived to represent the fuzzy image as a quantum image. Thus, the quantum representation of fuzzy image derived in this paper enables storing and processing the fuzzy image using the basis states of qubits in the quantum circuit. Moreover, the experiment was made with a sample image to prepare a quantum image through the IBM quantum experience platform. Finally, through the measurement of the quantum circuit, the visual interface of quantum information for the proposed method is successfully established. [ABSTRACT FROM AUTHOR]