This book describes a theoretical framework, implementation and measurements of quantum information through the interaction between a system of superconducting qubits and a system of superconducting cavity. We generate some quantum gates and quantum algorithms through such system to realize the solid quantum computers. Through this work, some of the quantum gates are realized via some quantum operations. Some of these operations are generated by applying a classical magnetic field. Quantum operations are introduced to realize quantum gates for one-, two- and three-qubit. Numerical calculations of the fidelity are used to prove the success of these operations for these gates. In addition, we introduce a new physical scheme for implementing an N-bit discrete quantum Fourier transform via an original twoqubit gate, and some of one- and two-qubit gates generated through such system. We propose and analyze a detailed experimental procedure for implementing the algorithm, and compute the average fidelity measure to quantify the success of this algorithm.