# Transferring the quantum state of electrons across a Fermi sea with Coulomb interaction

## TL;DR

This paper demonstrates a novel quantum teleportation mechanism for electrons across a metallic island using Coulomb interactions, enabling high-fidelity quantum state transfer over large distances in the quantum Hall regime.

## Contribution

It introduces a new method of electron quantum state transfer leveraging Coulomb interactions and charge freezing, with potential for entanglement of flying qubits.

## Key findings

- Quantum teleportation of electron states demonstrated.
- High-fidelity state imprinting achieved over separated locations.
- Potential for decoherence-free entanglement of propagating electrons.

## Abstract

The Coulomb interaction generally limits the quantum propagation of electrons. However, it can also provide a mechanism to transfer their quantum state over larger distances. Here, we demonstrate such a form of teleportation, across a metallic island within which the electrons are trapped much longer than their quantum lifetime. This effect originates from the low temperature freezing of the island's charge $Q$ which, in the presence of a single connected electronic channel, enforces a one-to-one correspondence between incoming and outgoing electrons. Such high-fidelity quantum state imprinting is established between well-separated injection and emission locations, through two-path interferences in the integer quantum Hall regime. The added electron quantum phase of $2\pi Q/e$ can allow for strong and decoherence-free entanglement of propagating electrons, and notably of flying qubits.