Abstract: Superconducting qubits are among the most promising candidates for building a quantum computer. In this talk, we discuss measurement of their most popular flavor, the transmon qubit. In particular, we address the effect of the neighboring qubits on measurement fidelity, introduce dressed squeezed state as an approximation of the joint state of the qubit-resonator system, and also show that non-RWA couplings lead to abrupt qubit state deterioration with increasing measurement microwave power.