Programme

P.51 -- Poster, VCTP-49

Date: Friday, 2 August 2024

Time: 08:30 - 10:00

Quantum Circuit Ansatz Structures for Ising Model & A Comparative Analysis of Classical and Quantum Optimization Methods

Lê Đức Truyền (1,2), Nguyễn Vũ Linh (3), Nguyễn Văn Duy (2), Nguyễn Quốc Hưng (4), Nguyễn Công Hà (5), Hà Triết (6)

(1) National Tsing Hua University (2) Phenikaa University (3) The Ho Chi Minh City University of Science (4) Nano and Energy Center, VNU University of Science (5) École normale supérieure - PSL (6) Rhodes College

In this study, we conducted a detailed study of several different kinds of quantum circuit ansatz structures in order to find the one that would work best with the Ising model and Noisy Intermediate Scale Quantum Computing (NISQ), which we utilized the symmetry of the investigated model. Additionally, we also delved into several optimization methods, both classical and quantum, and analyzed the quantum advantage that each of these methods offered, and then we proposed a new combinatorial optimization scheme, deemed as QNSPSA-PSR which combines calculating approximately Fubini-study metric (QNSPSA) and the exact evaluation of gradient by Parameter-Shift Rule (PSR). The QNSPSA-PSR method integrates the QNSPSA computational efficiency with the precise gradient computation of the PSR, improving both stability and convergence speed. Our results provide a new potential quantum supremacy in the VQE’s optimization subroutine and enhance viable paths toward efficient quantum simulations on NISQ devices.

Presenter: Le Duc Truyen