Bosonic systems, such as three-dimensional (3D) coaxial cavities and two-dimensional (2D) coplanar waveguide (CPW) resonators, are quantum harmonic oscillators that encode information in phase space, offering a hardware-efficient route toward quantum error correction and simulation in superconducting circuits. In this thesis, we present the design, characterization, and simulation of a dual-rail processor constructed with a 2D coplanar waveguide resonator, demonstrating a percent error between experimental and analytical results within a range of 3.31% - 13.16%. The analytical results exhibit high precision but lower accuracy relative to experimental measurements. By integrating both closed-source and open-source software tools, we develop an efficient workflow for extracting critical system parameters and simulating quantum dynamics. Our approach provides insight into a design layout of a fully planar dual-rail architecture to contribute to the development of scalable, fault-tolerant quantum processors.
