Ballistic 3-port interferometric logic gates in the quantum Hall regime

TL;DR

This paper demonstrates how a 3-port quantum Hall interferometer can implement reprogrammable logic gates by controlling quantum point contacts, with potential applications in quantum computing and electronic logic circuits.

Contribution

It introduces a novel design of reprogrammable logic gates using 3-port interferometers in the quantum Hall regime, controlled by quantum point contact potentials.

Findings

Different logic gates can be implemented at each port.

Output states are encoded in transmission coefficients.

Reprogramming is possible by combining two interferometers.

Abstract

We show that a 3-port interferometer, defined by quantum point contacts in a two-dimensional electron gas, and working in the quantum Hall regime, can implement different logic gates at each port depending on the energy of charge carriers and the operating conditions. In all cases the input logic states are encoded in the potentials applied on the quantum point contacts, while the output logic states are encoded in the values of the overall transmission coefficients at each port. In addition, the output of such compact configurations can be reprogrammed by combining two 3-port interferometers.