Variational quantum simulation of general processes

Understand

Variational quantum algorithms have been proposed to solve static and dynamic problems of closed many-body quantum systems.

• Here we investigate variational quantum simulation of three general types of tasks---generalised time evolution with a non-Hermitian Hamiltonian, linear algebra problems, and open quantum system dynamics.
• The algorithm for generalised time evolution provides a unified framework for variational quantum simulation.
• In particular, we show its application in solving linear systems of equations and matrix-vector multiplications by converting these algebraic problems into generalised time evolution.