Quantum Hilbert Transform

May 29, 2025 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Nitin Jha, Abhishek Parakh arXiv ID 2505.23581 Category quant-ph: Quantum Computing Cross-listed cs.CR, cs.DM, cs.NI Citations 2 Venue arXiv.org Last Checked 5 months ago
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.
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