Abstract This study significantly concentrates on cryogenic InP HEMT high-frequency circuit analysis using quantum theory to find how the transistor nonlinearity can affect the quantum correlation of the modes generated. Firstly. the total Hamiltonian of the circuit is derived. and the dynamic equation of the motion contributed is examined using the Heisenberg-Langevin equation. https://www.parisnaturalfoodes.shop/product-category/zesty-orange/