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* **Journal special issues**
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* JPP *Plasma and quantum information sciences* (Submission Deadline: 28th February 2025) [QIS](https://www.cambridge.org/core/journals/journal-of-plasma-physics/collections/plasma-and-quantum-information-sciences)
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* **System of linear equations** ![](badges/NISQ.png) ![](badges/Num.png) [HBR21](https://arxiv.org/abs/1909.07344) ![](badges/Exp.png) [Bra+20](https://arxiv.org/abs/1909.05820) [Xu+21](https://www.sciencedirect.com/science/article/pii/S2095927321004631) ![](badges/FTol.png) ![](badges/Theo.png) [HHL09](https://doi.org/10.1103/PhysRevLett.103.150502) [CJS13](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.250504) [CKS17](https://epubs.siam.org/doi/10.1137/16M1087072) [WX22](https://arxiv.org/abs/2208.06763) ![](badges/QAnn.png) ![](badges/Num.png) [SSO19](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.060504) ![](badges/Exp.png) [BL22](https://arxiv.org/abs/2206.10576) ![](badges/QIns.png) ![](badges/Theo.png) [SM21](https://arxiv.org/abs/2103.10309)
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* **System of linear equations** ![](badges/NISQ.png) ( ![](badges/Num.png) [HBR21](https://arxiv.org/abs/1909.07344) ![](badges/Exp.png) [Bra+20](https://arxiv.org/abs/1909.05820) [Xu+21](https://www.sciencedirect.com/science/article/pii/S2095927321004631) ) ![](badges/FTol.png) ( ![](badges/Theo.png) [HHL09](https://doi.org/10.1103/PhysRevLett.103.150502) [CJS13](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.250504) [CKS17](https://epubs.siam.org/doi/10.1137/16M1087072) [WX22](https://arxiv.org/abs/2208.06763) ) ![](badges/QAnn.png) ( ![](badges/Num.png) [SSO19](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.060504) ![](badges/Exp.png) [BL22](https://arxiv.org/abs/2206.10576) ) ![](badges/QIns.png) ( ![](badges/Theo.png) [SM21](https://arxiv.org/abs/2103.10309) )
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*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.*
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* **System of nonlinear equations** ![](badges/FTol.png) ![](badges/Theo.png) [DS21](https://arxiv.org/abs/2105.07317) ![](badges/Num.png) [XWG21](https://www.worldscientific.com/doi/10.1142/S201032472140004X) [Xue+22](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.032427)
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* **System of nonlinear equations** ![](badges/FTol.png) ( ![](badges/Theo.png) [DS21](https://arxiv.org/abs/2105.07317) ![](badges/Num.png) [XWG21](https://www.worldscientific.com/doi/10.1142/S201032472140004X) [Xue+22](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.032427) )
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*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.*
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*Many plasma systems can be described by ordinary differential equations. Some techniques attempt to solve them directly, while others map the ODE to (larger) systems of linear equations, and solve those.*
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* **Linear** ![](badges/FTol.png) ![](badges/Theo.png) [Ber14](https://iopscience.iop.org/article/10.1088/1751-8113/47/10/105301) [Ber+17](https://link.springer.com/article/10.1007/s00220-017-3002-y) [CL20](https://link.springer.com/article/10.1007/s00220-020-03699-z) [FLT22](https://arxiv.org/abs/2208.06941) [JLY22a](https://arxiv.org/abs/2212.13969) ![](badges/Num.png) [JLY22b](https://arxiv.org/abs/2212.14703) ![](badges/QAnn.png) ![](badges/Exp.png) [Zan+21](https://www.sciencedirect.com/science/article/pii/S2095927321004631)
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* **Linear** ![](badges/FTol.png) ( ![](badges/Theo.png) [Ber14](https://iopscience.iop.org/article/10.1088/1751-8113/47/10/105301) [Ber+17](https://link.springer.com/article/10.1007/s00220-017-3002-y) [CL20](https://link.springer.com/article/10.1007/s00220-020-03699-z) [FLT22](https://arxiv.org/abs/2208.06941) [JLY22a](https://arxiv.org/abs/2212.13969) ![](badges/Num.png) [JLY22b](https://arxiv.org/abs/2212.14703) ) ![](badges/QAnn.png) ( ![](badges/Exp.png) [Zan+21](https://www.sciencedirect.com/science/article/pii/S2095927321004631) )
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*As quantum mechanics is inherently linear, linear ODEs are often more straight-forward to solve with quantum computers than nonlinear ones.*
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