Notes on Quantum Computing for Thermal Science

Abstract

This document explores the potential of quantum computing in Thermal Science. Conceived as a living document, it will be continuously updated with experimental findings and insights for the research community in Thermal Science. By experiments, we refer both to the search for the most effective algorithms and to the performance of real quantum hardware. Those are fields that are evolving rapidly, driving a technological race to define the best architectures. The development of novel algorithms for engineering problems aims at harnessing the unique strengths of quantum computing. Expectations are high, as users seek concrete evidence of quantum supremacy - a true game changer for engineering applications. Among all heat transfer mechanisms (conduction, convection, radiation), we start with conduction as a paradigmatic test case in the field being characterized by a rich mathematical foundation for our investigations.

71 pages, 25 figures, 2 codes, VQE algorithm, HHL algorithm, living-document, HTML compatible

References in corpus (17)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• A variational eigenvalue solver on a quantum processor
• Quantum algorithm for solving linear systems of equations
• Variational Quantum Algorithms
• Cost Function Dependent Barren Plateaus in Shallow Parametrized Quantum Circuits
• The Variational Quantum Eigensolver: a review of methods and best practices
• Challenges and Opportunities in Quantum Machine Learning
• Barren Plateaus in Variational Quantum Computing
• Variational Quantum Linear Solver
• Variational algorithms for linear algebra
• A divide-and-conquer algorithm for quantum state preparation
• Two quantum algorithms for solving the one-dimensional advection-diffusion equation
• Performance optimizations for scalable CFD applications on hybrid CPU+MIC heterogeneous computing system with millions of cores
• Tensorized Pauli decomposition algorithm
• Potential quantum advantage for simulation of fluid dynamics
• Depth analysis of variational quantum algorithms for heat equation
• On-Premises Superconducting Quantum Computer for Education and Research