Quantum Singular Value Transformation

Quantum Singular Value Transformation (QSVT) is a quantum algorithmic framework that applies a polynomial function to the singular values of a given matrix, using a sequence of controlled unitary operations. It generalizes many quantum algorithms (like amplitude amplification and HHL) under a single formalism. In essence, QSVT lets you manipulate matrix spectra directly on a quantum computer without explicitly diagonalizing the matrix.