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In this paper, the master equation for the coupled lossy waveguides is solvedusing the thermofield dynamics(TFD) formalism. This formalism allows the use ofthe underlying symmetry algebras SU(2) and SU(1,1), associated with theHamiltonian of the coupled lossy waveguides,to compute entanglement anddecoherence as a function of time for various input states such as NOON statesand thermal states.

Quantum entanglement in coupled lossy waveguides using SU(2) and SU(1,1) Thermo-algebras