Quantum Hilbert Transform
Quantum Physics
2025-06-02 v2 Cryptography and Security
Discrete Mathematics
Networking and Internet Architecture
Abstract
The Hilbert transform has been one of the foundational transforms in signal processing, finding it's way into multiple disciplines from cryptography to biomedical sciences. However, there does not exist any quantum analogue for the Hilbert transform. In this work, we introduce a formulation for the quantum Hilbert transform (QHT)and apply it to a quantum steganography protocol. By bridging classical phase-shift techniques with quantum operations, QHT opens new pathways in quantum signal processing, communications, sensing, and secure information hiding.
Keywords
Cite
@article{arxiv.2505.23581,
title = {Quantum Hilbert Transform},
author = {Nitin Jha and Abhishek Parakh},
journal= {arXiv preprint arXiv:2505.23581},
year = {2025}
}