Modeling Heat Flow in Automotive Industry with Novel Quantum Computing Solutions
summary
Project reformulates thermal ODEs into quantum-ready forms and benchmarks algorithms: Chebyshev spectral method (maps to a linear system solved via HHL-style approaches) and Feynman–Kitaev history-state (global-in-time Schrödinger embedding). Benchmarks use a 16×16 metric mapped to five qubits, compare adiabatic/QAOA (seven layers) and Trotter depths, target fidelity 97% not reached on current NISQ devices. Estimate 2–3 years to run engineer‑relevant sizes without algorithmic improvements, plus ~1 year to reach ~100×100 matrices with further work.
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chapters (9)
- 0:00Quantum heat flow project intro
- 1:51Quantum computing for automotive
- 3:19Project goals and modeling
- 5:09Quantum implementation strategies
- 8:02Chebyshev representation
- 10:16Benchmarking quantum algorithms
- 12:22Resource scaling with complexity
- 13:48Timeline and future steps
- 14:52Collaboration opportunities
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