Variational Quantum Singular Value Decomposition

Understand

Singular value decomposition is central to many problems in engineering and scientific fields.

• Several quantum algorithms have been proposed to determine the singular values and their associated singular vectors of a given matrix.
• Although these algorithms are promising, the required quantum subroutines and resources are too costly on near-term quantum devices.
• In this work, we propose a variational quantum algorithm for singular value decomposition (VQSVD).