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+ Modern Reviews Below are links to (static) general and specialized reviews. Applications of Quantum Computing to Plasma Simulations [DS21a]. Quantum Computing for Fusion Energy Science Applications [Jos+22]. System of linear equations NISQ Num [HBR21] Exp [Bra+20; Xu+21], FTol Theo [HHL09; CJS13; CKS17; WX22], QAnn Num [SSO19], Exp [BL22], QIns Theo [SM21]. Many problems in plasma physics may be formulated, either exactly or approximately, as a problem of the form Ax = b, where A and b encode the information about the system (including its initial conditions, if applicable), and the goal is to compute x, which encodes the desired data. System of nonlinear equations FTol Theo [DS21b] Num [XWG21; Xue+22]. Nonlinear equations depend nonlinearly on x, and they are generally much harder to solve. As quantum mechanics is inherently linear, many techniques rely on mapping the original nonlinear problem to a (usually approximate) linear one, that is easier to solve. System of polynomial equations QAnn Exp [Cha+19]. System where each equation is a polynomial. Ordinary di erential equations (ODEs) QAnn Exp [Zan+21]. Many plasma systems can be described by ordinary di erential equations. Some techniques attempt to solve them directly, while others map the ODE to (larger) systems of linear equations, and solve those.