  We have proposed a scheme of multi-qubit \textit{quantum random access
memory} (qRAM) based on the impedance matched photon echo quantum memory
incorporated together with the control three-level atom in two coupled QED
cavities. A set of matching conditions for basic physical parameters of the
qRAM scheme that provides an efficient quantum control of the fast single
photon storage and read-out has been found. In particular, it was found that
the qRAM operation is determined by the properties of the photonic molecular
realized in the qRAM dynamics. Herein, the maximal efficiency of the qRAM is
achieved when the cooperativety parameter of the photonic molecular equals to
unity that can be easily experimentally implemented. The quantum address of the
stored photonic qubits can be put into practice when the address is encoded in
photonic multi-time-bin state. We discuss the advantages of the qRAM in terms
of working with multi-qubit states and the implementation by current quantum
technologies in the optical and microwave domains.
