  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.
