Quantum Information and Computing Meeting: Quantum Singular Value Transformation (QSVT)
Jiri Guth-Jarkovsky (MPQ):
QSVT is a framework for constructing quantum circuits
Jiri Guth-Jarkovsky (MPQ)
Group seminar (hybrid format: online/seminar room B2.46)
Tue, 16 November 2021, 11:30 am (MEZ)
QSVT is a framework for constructing quantum circuits. It starts with block-encoding a non-unitary matrix A within a larger unitary matrix U. The quantum circuit then allows to apply arbitrary polynomial transformation on the encoded matrix A. It turns out that many common quantum algorithms can be rephrased in this QSVT language (and there are even a few new algorithms). The only thing that changes is the starting matrix A and the polynomial that we apply to it. I will explain how it works and show how to implement the Grover's search in this framework.
Source, e.g. https://arxiv.org/pdf/1806.01838.pdf