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

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.

11 pages, 5 figures. First Revision. Some discussions and figures improved and a new figure added

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Cited by in corpus (8)

• Observation of pi/2 modes in an acoustic Floquet system
• Time-induced second-order topological superconductors
• Square-root Floquet topological phases and time crystals
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Topological and dynamical features of periodically driven spin ladders
• Topological $\pi$ modes and beyond
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor