  In this paper, we propose a protocol for complete Bell-state analysis for two
superconducting-quantum-interference-device qubits. The Bell-state analysis
could be completed by using a sequence of microwave pulses designed by the
transition- less tracking algorithm, which is an useful method in the technique
of shortcut to adiabaticity. After the whole process, the information for
distinguishing four Bell states will be encoded on two auxiliary qubits, while
the Bell states keep unchanged. One can read out the information by detecting
the auxiliary qubits. Thus the Bell-state analysis is nondestructive. The
numerical simulations show that the protocol possesses high success probability
of distinguishing each Bell state with current experimental technology even
when decoherence is taken into account. Thus, the protocol may have potential
applications for the information readout in quantum communications and quantum
computations in superconducting quantum networks.
