Simulation of Non-Abelian Braiding in Majorana Time Crystals

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...

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Bibliographic Details
Published in:Physical review letters 2018-06, Vol.120 (23), p.230405-230405, Article 230405
Main Authors: Bomantara, Raditya Weda, Gong, Jiangbin
Format: Article
Language:English
Subjects:
Braiding
Computer simulation
Crystals
Lattice vibration
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Summary: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 one can manipulate different Majorana edge modes separated in the time lattice, giving rise to an unforeseen scenario for topologically protected gate operations mimicking braiding. The proposed protocol 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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.120.230405