@misc{9233278,
  abstract     = {{As the energy sector transitions towards more sustainable forms of energy production,
classical Computational Fluid Dynamics (CFD) increasingly struggles with the bottle-
necks of simulating high complexity turbulent flows. While quantum computing (QC)
theoretically offers an exponential speedup for large-scale linear systems, current Noisy
Intermediate-Scale Quantum (NISQ) hardware lacks the error correction required for
deep and complex circuits that mathematically ideal algorithms require. Furthermore,
the inherent linearity of quantum mechanics seriously impedes the solving non-linear
partial differential equations (PDEs), which are critical for fluid modeling. To bridge
thisgap, thisthesisevaluatestheVariationalQuantumLinearSolver(VQLS),a shallow-
circuit, hybrid algorithm, applied to the 1D viscous Burgers’ equation while utilizing
the Cole-Hopf transformation to analytically linearize the equation. In both simulated
and actual hardware, the VQLS algorithm is implemented across increasingly scaled
topographies (2, 4, and 8 qubits). This work intends to identify the limitations of
implementing quantum fluid dynamics in near-term quantum hardware.}},
  author       = {{Moreno Sanchez, Arnau}},
  issn         = {{0282-1990}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{An Exploration on Quantum Computing for Solving 1-Dimensional Non-Linear Viscous Burgers’ Equation}},
  year         = {{2026}},
}