Solving Fractional Differential Equations on a Quantum Computer: A
Variational Approach
Solving Fractional Differential Equations on a Quantum Computer: A
Variational Approach
We introduce an efficient variational hybrid quantum-classical algorithm designed for solving Caputo time-fractional partial differential equations. Our method employs an iterable cost function incorporating a linear combination of overlap history states. The proposed algorithm is not only efficient in time complexity, but has lower memory costs compared to classical methods. …