https://doi.org/10.1140/epjp/s13360-022-02630-w
Regular Article
Manifestation of quantum images using unitary matrix encoding
1
Department of Physics, Indian Institute of Space Science and Technology, 695547, Thiruvananthapuram, India
2
ISRO Inertial Systems Unit, 695013, Thiruvananthapuram, India
Received:
18
June
2021
Accepted:
21
March
2022
Published online:
9
April
2022
Over the years, several quantum algorithms and classical algorithms inspired by quantum mechanics have become prominent tools in various fields. One such field of interest is quantum image processing and its applications. In this work, we introduce a new format based on unitary matrix encoding to represent the classical image as a quantum image. The polar decomposition of the image matrix is utilized for this purpose, and the form of the quantum state required for image reconstruction is also provided. Also, we discuss various applications such as secure communication, image smoothening, and edge detection. We introduce quantum spatial domain filtering and quantum frequency domain filtering, a novel approach in quantum image processing. The number of qubits required for this encoding scheme is less than that of the other available schemes, and thus, the proposed method is less prone to decoherence.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022