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This technical review examines the different methods and approaches used to
create microwave modes quantum correlation. Specifically, we consider the
electro-opto-mechanical, optoelectronics, 4-coupled qubits, and InP HEMT
coupled with two external oscillator methods, and evaluate their effectiveness
for quantum applications. As these systems are open quantum systems, they
interact with their environment and thermal bath. To ensure an accurate
comparison, we analyze all systems using the same gauge. Thus, all systems are
shortly introduced, the total Hamiltonian is theoretically derived, and
finally, the system dynamics are analogously analyzed using the Lindblad master
equation. We then calculate the quantum correlation between cavity modes,
signal-to-noise ratio, and fidelity for each system to evaluate their
performance. The study result shows that the strength and nature of the
calculated quantities vary among the systems. One interesting result is the
emergence of mixing behavior in the quantum correlation and signal-to-noise
ratio for systems that use different cavities. It also identified a significant
similarity between the 4-coupled qubits and InP HEMT coupled with external
oscillators methods, where an avoided-level crossing occurs in the quantum
correlation. Additionally, the study reveals that the signal-to-noise ratio and
classical discord are more consistent than quantum discord.