Simulation of non-Abelian braiding in Majorana time crystals

TL;DR

This paper demonstrates how Majorana time crystals, a type of discrete time crystal in superconducting wires, can be used for topologically protected braiding and quantum gate operations, advancing quantum control in time-domain systems.

Contribution

It introduces a novel braiding scheme in Majorana time crystals enabling topologically protected quantum gates and magic state generation.

Findings

Majorana edge modes can be braided in time crystals

The scheme enables topologically protected quantum gates

Potential for universal quantum computation

Abstract

Discrete time crystals have attracted considerable theoretical and experimental studies but their potential applications have remained unexplored. A particular type of discrete time crystals, termed "Majorana time crystals", is found to emerge in a periodically driven superconducting wire accommodating two different species of topological edge modes. It is further shown that different Majorana edge modes separated in the time lattice can be braided, giving rise to an unforeseen scenario for topologically protected gate operations. The proposed braiding scheme can also generate a magic state that is important for universal quantum computation. This study thus advances the quantum control in discrete time crystals and reveals their great potential arising from their time-domain properties.