Quantum Hilbert Transform
Journal:
arXiv
Published Date:
May 29, 2025
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.
