The problem QUEST solves

QUEST is an innovative and interactive project that brings the complex world of quantum mechanics to life by providing a user-friendly interface for solving the Hamiltonian equation, determining eigenvalues, eigenvectors, and visualizing these quantum properties. This project serves as an invaluable tool for researchers, students, and enthusiasts seeking to explore and understand the fundamental principles governing quantum systems.

Key Features:

Hamiltonian Equation Solver: The core functionality of the project revolves around solving the Hamiltonian equation for a given quantum system. Users can input the Hamiltonian matrix that represents the energy operator of the system, capturing its dynamics and interactions.

Eigenvalue and Eigenvector Calculation: The solver computes the eigenvalues and corresponding eigenvectors of the Hamiltonian matrix. This information is critical in understanding the quantized energy levels and the associated states of the quantum system.

Interactive Graphical Visualization: The project offers dynamic visualizations of the computed eigenvalues and eigenvectors. Users can explore the energy spectrum of the system and gain insights into its quantum behavior. The graph provides a clear representation of how eigenvalues are distributed, enabling users to observe energy level gaps and degeneracies.

Challenges we ran into

Creating QUEST for a hackathon has challenges in handling complex quantum mathematics, efficient eigenvalue algorithms, and intuitive visualization design. Balancing functionality and aesthetics while managing data manipulation, real-time computation, and cross-platform compatibility is crucial. Additionally, integrating libraries and error handling, all within tight timeframes, demands careful planning. Prioritizing tasks and simplifying both code and user interface will be vital for success. Leveraging existing libraries and frameworks can aid development. Effective documentation is essential for clarity in code, math, and instructions.