  We study quantum features of electromagnetic radiation propagating in the
one-dimensional superconducting quantum metamaterial comprised of an infinite
chain of charge qubits placed within two-stripe massive superconductive
resonators. The Quantum-mechanical model is derived assuming weak fields and
that, at low temperatures, each qubit is either unoccupied ($N=0$) or occupied
by a single Cooper pair ($N=1$). Based on this assumption we demonstrate the
emergence of two bands of single-photon-qubit bound states with the energy
lying within (lower branch) or outside (higher) the photon continuum. The
emergence of bound states may cause radiation trapping which could be of
interest for the control of photon transport in these systems.
