Session: DTM-03: Computational Methods in Design

Paper Number: 148321

148321 - Hamiltonian Representation for Engineering Systems Design 

Hamiltonian dynamics, a cornerstone of theoretical physics, presents a unique approach to complex engineering systems design. This project explores how Hamiltonian representation can be applied to engineering challenges, providing a new paradigm for solving intricate optimization problems. By recasting engineering constraints and objectives into a quantum context, we unlock more efficient methods for system optimization.

Central to this approach is Quantum Adiabatic Optimization (QAO), a quantum algorithm designed to find the optimal solution by gradually evolving a quantum system from a simple state to one representing the desired solution. The adiabatic theorem ensures that if the system changes slowly enough, it will remain in its ground state, allowing QAO to solve engineering problems more effectively than classical methods.

This process utilizes quantum properties like superposition and tunneling, enabling a more flexible and thorough exploration of solution spaces. These quantum effects help avoid local optima, a common trap in traditional optimization, leading to more accurate and reliable results.

Our approach has broad applications across various engineering domains, addressing a wide range of design and optimization challenges.We will demonstrate the effectiveness of the proposed Hamiltonian-based engineering system optimization method in a space logistics and space vehicle routing problem, where traditional methods face scalability issues. The Hamiltonian representation allows for a more flexible and efficient exploration of possible solutions, demonstrating the potential of QAO in engineering systems design.

Overall, the Hamiltonian representation for engineering systems design provides a powerful and transformative approach to addressing complex optimization problems, with significant potential in a variety of engineering applications. This innovative framework, by leveraging quantum-based techniques, represents a promising frontier in engineering research and development.

Presenting Author: Amiratabak Bahengam Stevens Institute of Technology

Presenting Author Biography: Amiratabak Bahengam is a PhD student in Systems Engineering at Stevens Institute of Technology. He holds a bachelor's degree in Industrial Engineering from the University of Tehran. His research focuses on the field of engineering systems design.

Authors:

Amiratabak Bahengam Stevens Institute of Technology
Hao Chen Stevens Institute of Technology