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Solving the Advection Equation

Classiq Quantum Use-Case for Qinnovision World Challenge 2025 | Solving the Advection Equation Using Hamiltonian Simulation

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Rules

By default all competitions must comply to the rules defined in aqora's Terms of Use

You are required to submit a Python notebook, with the algorithm implemented using the Classiq SDK. The notebook should include the following:
  1. Algorithm Implementation: An algorithm designed using the Classiq platform (SDK), implementing a quantum program to solve the advection equation with Dirichlet boundary conditions.
  2. Graphical Visualization: A plot showing the resulting function φ(x,t=1.0).
  3. CX-Gate Count Analysis: A quantitative analysis of the CX-gate counts (extract the counts using the Classiq platform) presented in a graphical format.