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Parabolic QIns Num [Pat+22]. Heat/Convection NISQ [LEK22; Alb+22], Num [Liu+22], FTol Theo [LMS22; JLY22a; JLY22d] Num [JLY22b]. The prototypical parabolic linear PDE. This equation describes the di usion of heat in a material tu(t, x) = u