Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire

TL;DR

This paper proposes a periodic driving method to generate multiple Majorana fermions in a quantum wire, enabling active error correction for quasiparticle poisoning in Majorana-based quantum computing.

Contribution

It introduces a stabilizer code protocol utilizing multiple Majorana fermions to detect and correct quasiparticle poisoning, enhancing quantum error correction capabilities.

Findings

Protocol can detect and correct single quasiparticle poisoning events.

Implementation feasible with existing nanowire technology.

Provides a practical approach to improve Majorana qubit stability.

Abstract

Quasiparticle poisoning has remained one of the main challenges in the implementation of Majorana-based quantum computing. It inevitably occurs when the system hosting Majorana qubits is not completely isolated from its surrounding, thus considerably limiting its computational time. We propose the use of periodic driving to generate multiple MFs at each end of a single quantum wire, which naturally provides the necessary resources to implement active quantum error corrections with minimal space overhead. In particular, we present a stabilizer code protocol that can specifically detect and correct any single quasiparticle poisoning event. Such a protocol is implementable via existing proximitized semiconducting nanowire proposals, where all of its stabilizer operators can be measured from an appropriate Majorana parity dependent four-terminal conductance.