Mesoscopic one-way channels for quantum state transfer via the Quantum Hall Effect

TL;DR

This paper demonstrates that magnetic edge states in electronic systems can serve as unidirectional quantum channels for coherent quantum information transfer, similar to one-way photonic channels, with potential applications in solid-state quantum computing.

Contribution

It introduces the physical realization of one-way quantum channels in electronic systems using magnetic edge states, adapting quantum state transfer protocols from photonics to mesoscopic systems.

Findings

Magnetic edge states form unidirectional quantum channels.

Quantum state transfer protocols are feasible with realistic parameters.

Potential application in transferring quantum information in solid-state devices.

Abstract

We show that the one-way channel formalism of quantum optics has a physical realisation in electronic systems. In particular, we show that magnetic edge states form unidirectional quantum channels capable of coherently transporting electronic quantum information. Using the equivalence between one-way photonic channels and magnetic edge states, we adapt a proposal for quantum state transfer to mesoscopic systems using edge states as a quantum channel, and show that it is feasible with reasonable experimental parameters. We discuss how this protocol may be used to transfer information encoded in number, charge or spin states of quantum dots, so it may prove useful for transferring quantum information between parts of a solid-state quantum computer.