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quant-ph2024
Quantum Algorithm For Testing Convexity of Function
Nhat A. Nghiem, Tzu-Chieh Wei
Functions are a fundamental object in mathematics, with countless applications to different fields, and are usually classified based on certain properties, given their domains and…
quant-ph2024
Improved Quantum Power Method and Numerical Integration Using Quantum Singular Value Transformation
Nhat A. Nghiem, Hiroki Sukeno, Shuyu Zhang +1
Quantum singular value transformation (QSVT) is a framework that has been shown to unify many primitives in quantum algorithms. In this work, we leverage the QSVT framework in two…
quant-ph2024
Quantum Algorithm For Solving Nonlinear Algebraic Equations
Nhat A. Nghiem, Tzu-Chieh Wei
Nonlinear equations are challenging to solve due to their inherently nonlinear nature. As analytical solutions typically do not exist, numerical methods have been developed to tack…