7 papers
Quantum Eigenvalue Transformations for Arbitrary Matrices
Xabier Gutiérrez, Lorenzo Laneve, Mikel Sanz
Quantum Signal Processing (QSP) and Quantum Singular Value Transformation (QSVT) provide an efficient framework for implementing polynomials of block-encoded matrices, and thus off…
An adversary bound for quantum signal processing
Lorenzo Laneve
Quantum signal processing (QSP) and quantum singular value transformation (QSVT), have emerged as unifying frameworks in the context of quantum algorithm design. These techniques a…
Generalized Quantum Signal Processing and Non-Linear Fourier Transform are equivalent
Lorenzo Laneve
Quantum signal processing (QSP) and quantum singular value transformation (QSVT) are powerful techniques for the development of quantum procedures. They allow to derive circuits pr…
On multivariate polynomials achievable with quantum signal processing
Lorenzo Laneve, Stefan Wolf
Quantum signal processing (QSP) is a framework which was proven to unify and simplify a large number of known quantum algorithms, as well as discovering new ones. QSP allows one to…
Quantum signal processing over SU(N)
Lorenzo Laneve
Quantum signal processing (QSP) and the quantum singular value transformation (QSVT) are pivotal tools for simplifying the development of quantum algorithms. These techniques lever…
Robust black-box quantum-state preparation via quantum signal processing
Lorenzo Laneve
Black-box quantum-state preparation is a variant of quantum-state preparation where we want to construct an -qubit state with the amp…