Reproduce “Quantum Hilbert Transform” on OpenResearch
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About this paper
Nitin Jha, Abhishek Parakh
Researchers at Kennesaw State University introduce the Quantum Hilbert Transform (QHT), a quantum analogue to the classical Hilbert Transform, which was previously unaddressed in quantum computing. The paper defines the QHT as a sequence of Quantum Fourier Transform, phase modulation in the Fourier basis, and Inverse Quantum Fourier Transform. It further demonstrates its utility by proposing a quantum steganography protocol capable of embedding secret information within quantum states through phase shifts.
Key insights
- The Quantum Hilbert Transform (QHT) can be formulated by applying the Quantum Fourier Transform (QFT), performing conditional phase modulation in the Fourier basis, and then applying the Inverse QFT.
- Applying QHT to a quantum state results in changes to both the amplitudes and phases of the individual basis states in the computational basis.
- A secure quantum steganography protocol can be constructed using QHT to embed binary information through phase modulation, with theoretical analysis showing zero information leakage to an eavesdropper in ideal noiseless scenarios.
Summary by alphaXiv.
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