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This study unveils a comprehensive design strategy, intricately addressingthe realization of transmon qubits, the design of Josephson parametricamplifiers, and the development of an innovative fully integrated receiverdedicated to sensing ultra-low-level quantum signals. Quantum theory takescenter stage, leveraging the Lindblad master and quantum Langevin equations todesign the transmon qubit and Josephson parametric amplifier as open quantumsystems. The mentioned quantum devices engineering integrated with the designof a fully integrated 45 nm CMOS system-on-chip receiver, weaves together anuanced tapestry of quantum and classical elements. On one hand, for thetransmon qubit and parametric amplifier operating at 10 mK, critical quantummetrics including entanglement, Stoke projector probabilities, and parametricamplifier gain are calculated. On the other hand, the resulting receiver is asymphony of high-performance elements, featuring a wide-band low-noiseamplifier with a 0.8 dB noise figure and ~37 dB gains, a sweepable 5.0 GHzsinusoidal wave generator via the voltage-controlled oscillator, and apurpose-designed mixer achieving C-band to zero-IF conversion. Intermediatefrequency amplifier, with a flat gain of around 26 dB, and their low-passfilters, generate a pure sinusoidal wave at zero-IF, ready for subsequentprocessing at room temperature. This design achieves an impressive balance,with low power consumption (~122 mW), a noise figure of ~0.9 dB, high gain(~130 dB), a wide bandwidth of 3.6 GHz, and compact dimensions (0.54*0.4 mm^2).The fully integrated receiver capability to read out at least 90 qubitspositions this design for potential applications in quantum computing.Validation through post-simulations at room temperature underscores thepromising and innovative nature of this design.

Design of Fully Integrated 45 nm CMOS System-on-Chip Receiver for Readout of Transmon Qubit