Solving fractional differential equations on a quantum computer: A variational approach

• Main Authors: LEONG, Fong Yew, KOH, Dax Enshan, KONG, Jian Feng, GOH, Siong Thye, KHOO, Jun Yong, EWE, Wei Bin, LI, Hongying, THOMPSON, Jayne, POLETTI, Dario
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2024
• Subjects: Partial Differential Equations; Theory and Algorithms
• Online Access: https://ink.library.smu.edu.sg/sis_research/9045; https://ink.library.smu.edu.sg/context/sis_research/article/10048/viewcontent/033802_1_5.0202971_pvoa_cc_by.pdf
• Institution: Singapore Management University

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...