Quantum Algorithms for Sparse Problems
1. Introduction In many real-world applications—from data science and machine learning to physics and engineering—problems are sparse. This means most of the data or matrix elements involved are zero or….
Tag: HHL algorithm
Quantum Algorithms for Solving PDEs
1. Introduction to PDEs Partial Differential Equations (PDEs) are foundational in modeling dynamic systems that evolve over time and space. They are used extensively across fields such as physics (wave….
Quantum Matrix Inversion Techniques
1. Introduction Matrix inversion is a fundamental operation in science and engineering. Whether in data science, computer graphics, or physical simulations, inverting a matrix is often a crucial step to….
Quantum Algorithms for Linear Systems (HHL Algorithm)
1. Introduction Solving linear systems of equations is at the heart of many scientific, engineering, and business problems. Whether it’s modeling traffic flow, performing financial risk assessments, or simulating physical….