Experimental realization of quantum algorithms for linear system inspired by adiabatic quantum computing

Understand

Quantum adiabatic algorithm is of vital importance in quantum computation field.

• It offers us an alternative approach to manipulate the system instead of quantum gate model.
• Recently, an interesting work arXiv:1805.10549 indicated that we can solve linear equation system via algorithm inspired by adiabatic quantum computing.
• Here we demonstrate the algorithm and realize the solution of 8-dimensional linear equations $A\textbf{x}=\textbf{b}$ in a 4-qubit nuclear magnetic resonance system.