Quasiparticle poisoning rate in a superconducting transmon qubit involving Majorana zero modes

  1. Xiaopei Sun,
  2. Zhaozheng Lyu,
  3. Enna Zhuo,
  4. Bing Li,
  5. Zhongqing Ji,
  6. Jie Fan,
  7. Xiaohui Song,
  8. Fanning Qu,
  9. Guangtong Liu,
  10. Jie Shen,
  11. and Li Lu
Majorana zero modes have been attracting considerable attention because of their prospective applications in fault-tolerant topological quantum computing. In recent years, some schemes
have been proposed to detect and manipulate Majorana zero modes using superconducting qubits. However, manipulating and reading the Majorana zero modes must be kept in the time window of quasiparticle poisoning. In this work, we study the problem of quasiparticle poisoning in a split transmon qubit containing hybrid Josephson junctions involving Majorana zero modes. We show that Majorana coupling will cause parity mixing and 4{\pi} Josephson effect. In addition, we obtained the expression of qubit parameter-dependent parity switching rate and demonstrated that quasiparticle poisoning can be greatly suppressed by reducing E_J/E_C via qubit design.