L. B. Shao

Detecting non-Abelian statistics of topological states on a chain of superconducting circuits

  1. Jun-Yi Cao,
  2. Jia Liu,
  3. L. B. Shao,
  4. and Zheng-Yuan Xue
In view of the fundamental importance and many promising potential applications, non-Abelian statistics of topologically protected states has attracted much attention recently. However,
due to the operational difficulties in solid state materials, non-Abelian statistics has not been experimentally realized yet. The superconducting quantum circuits system is scalable and controllable, thus is a promising platform for quantum simulation. Here, we propose a scheme to demonstrate non-Abelian statistics of topologically protected zero energy edge modes on a chain of the superconducting circuits. Specifically, we can realize topological phase transition by varying the hopping strength and magnetic filed in the chain, and the realized non-Abelian operation can be used in topological quantum computation. Considering the advantages of the superconducting quantum circuits, our protocol may shed light on quantum computation via topologically-protected states.
arxiv pdf

Tunable interfaces for realizing universal quantum computation with topological qubits

  1. Zheng-Yuan Xue,
  2. L. B. Shao,
  3. Yong Hu,
  4. Shi-Liang Zhu,
  5. and Z. D. Wang
We propose to implement tunable interfaces for realizing universal quantum computation with topological qubits. One interface is between the topological and superconducting qubits,
which can realize arbitrary single-qubit gate on the topological qubit. When two qubits are involved, the interface between the topological qubits and a microwave cavity can induce a nontrivial two-qubit gate, which can not be constructed based on braiding operations. The two interfaces, being tunable via an external magnetic flux, may serve as the building blocks towards universal quantum computation with topological qubits.
arxiv pdf