Workshop on Quantum Algorithms for Nonlinear Differential Equations

Closed-system quantum mechanics is linear at the level of Schrödinger evolution, yet nonlinear structure enters quantum science in several important ways: through measurement, effective descriptions of open and many-body systems, and the nonlinear classical dynamics one may wish to encode or simulate. These considerations go beyond simple restriction to subspaces and raise fundamental questions about how nonlinear behavior is represented within linear Hilbert-space dynamics, the language of tensor networks, and models of quantum computation. 

This workshop will address: 

• Which classes of nonlinear differential equations are amenable to quantum algorithms
• How such questions connect to computational complexity theory
• What is learned from models that introduce nonlinear elements into quantum computation, and the limits they imply
• Which nonlinear models are most promising for near-term experimental demonstrations, particularly on Québec-based quantum hardware 

The program combines invited talks with discussion and concludes with an informal evening session to encourage further exchange.