Mohit Rohida

Mohit Rohida

PhD student at the Division of Mathematical and Physical Sciences, Ahmedabad University, India.

You can also find my articles on my Google Scholar profile.

Journal Articles

Hybrid classical-quantum image processing via polar Walsh basis functions

Published in Quantum Machine Intelligence, 2024

We propose a novel hybrid classical-quantum approach for image processing based on polar Walsh basis functions. Using this approach, we present an algorithm for the removal of the circular banding noise (including Airy pattern noise) and the azimuthal banding noise. Read more…

Recommended citation: M. Rohida, A. Shukla, and P. Vedula. Hybrid classical-quantum image processing via polar Walsh basis functions. Quantum Machine Intelligence, 6(2):72, 2024.
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Preprints

Structure preserving Quantum Algorithms for Linear Ordinary Differential Equations

Published in hal, 2026

Many scientific and engineering problems are governed by differential equations whose analytical solutions are unavailable, making numerical discretization indispensable. Classical numerical schemes generally fail to preserve the geometric and symmetry properties of the underlying differential equations, which can adversely affect numerical accuracy. In this work, we combine Lie symmetry-preserving numerical discretization with Quantum Linear Systems Algorithms (QLSAs) to develop a quantum framework for solving first-order linear ordinary differential equations. Read more…

Recommended citation: M. Rohida, A. Shukla, and P. Vedula, Structure preserving Quantum Algorithms for Linear Ordinary Differential Equations, 2026. hal- 05680703.
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Quantum algorithm for edge detection in digital grayscale images

Published in arXiv, 2025

In this work, we propose a novel quantum algorithm for edge detection in digital grayscale images, based on the sequency-ordered Walsh-Hadamard transform. The proposed method significantly improves upon existing quantum techniques for edge detection by using a quantum algorithm for the sequency-ordered Walsh-Hadamard transform, achieving a circuit depth of \(O(n)\) (where \(n\) is the number of qubits). Read more…

Recommended citation: M. Rohida, A. Shukla, and P. Vedula, Quantum algorithm for edge detection in digital grayscale images, 2025. arXiv: 2507.06642 [quant-ph].
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