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Quantum optimization of coherent chaotic systems: A case for buses of Kathmandu
In this paper, we propose a novel quantum computing approach to solve the
real-world problem of optimizing transportation in bustling Kathmandu city. The
transportation system in Kathmandu is chaotic, with no central authority
controlling the transportation. We leverage this chaotic feature in our quantum
optimization procedure. The quantum chaos theory's Wigner-Dyson distribution
surfaced as the most effective bus spacing distribution for a bus driver to
maximize their profit. We investigate the statistical properties of the buses
with real-time GPS bus location data and optimize bus spacing and interval
distribution around the 27 km circular ring road in Kathmandu. Using tools like
quantum simulation, eigenvalue distributions, and output wave function
analysis, we show that such optimal bus spacing distribution could be achieved