  With a high-loss resonator supplying the non-Hermiticity, we study the Energy
level degeneracy and quantum state evolution in tunable coupling
superconducting quantum circuit. The qubit's effective energy level and damping
rate can be continually tuned in superconducting circuit, and the positions and
numbers of level degenerate points are controllable. The efficient of quantum
state exchange and the asymmetry of quantum state evolution can be tuned with
non-hermitian and nonreciprocal coupling between two qubits. The controllable
non-Hermiticity provides new insights and methods for exploring the
unconventional quantum effects in superconducting quantum circuit.
