Quantum Fourier states and gates: Teleportation via rough entanglement

TL;DR

This paper introduces Quantum Fourier gates, demonstrating teleportation using rough entanglement, and explores applications relevant to the quantum Internet, expanding understanding of entanglement's role in quantum communication.

Contribution

It presents a new family of quantum gates combining QFT and SWAP, and shows teleportation can occur with rough entanglement, not just complete entanglement.

Findings

Teleportation feasible with rough entanglement

Quantum Fourier gates unify several known gates

Applications for quantum Internet are discussed

Abstract

Quantum Fourier gates (QFG) constitute a family of quantum gates that result from an exact combination of the quantum Fourier transform (QFT) and the SWAP gate. As a direct consequence of this, the Feynman gate is a particular case of that family, just as the Bell states are particular cases of the states that are also derived from the aforementioned family. Besides, this new tool will allow us to demonstrate that teleportation is not something that happens exclusively thanks to some level of entanglement, but that it is also possible with an incomplete form of entanglement known as rough entanglement. Finally, other applications necessary in the quantum Internet are incorporated.