A quantum algorithm simulates unital dephasing dynamics by sampling stochastic unitaries and decouples coupled fermion-boson dephasing into an IQP circuit that controls the fermion evolution.
Longhi, Anderson localization in dissipative lattices, Annalen der Physik535, 10.1002/andp.202200658 (2023)
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Quantum algorithm for dephasing of coupled systems: decoupling and IQP duality
A quantum algorithm simulates unital dephasing dynamics by sampling stochastic unitaries and decouples coupled fermion-boson dephasing into an IQP circuit that controls the fermion evolution.