Fourier's quantum information processing
Mario Mastriani
TL;DR
This paper highlights the fundamental role of the quantum Fourier transform in quantum information processing, emphasizing Fourier's spectral approach to entanglement, teleportation, and secret sharing, thus connecting historical Fourier work to modern quantum tech.
Contribution
It establishes that quantum Fourier transform is the core principle underlying all quantum information processing tasks, linking Fourier's classical work to quantum phenomena.
Findings
QFT is essential for quantum entanglement
QFT underpins quantum teleportation
QFT is central to quantum secret sharing
Abstract
We demonstrate that quantum information processing (QIP) completely rests on quantum Fourier transform (QFT), and 190 years after his death, the work of Jean-Baptiste Joseph Fourier is more present than ever in Physics, constituting the heart of QIP, and showing the spectral nature of quantum entanglement, quantum teleportation, and quantum secret sharing.
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