Operator-Projected Variational Quantum Imaginary Time Evolution
Quantum Physics
2024-09-19 v1 Other Condensed Matter
Abstract
Variational Quantum Imaginary Time Evolution (VQITE) is a leading technique for ground state preparation on quantum computers. A significant computational challenge of VQITE is the determination of the quantum geometric tensor. We show that requiring the imaginary-time evolution to be correct only when projected onto a chosen set of operators allows to achieve a twofold reduction in circuit depth by bypassing fidelity estimations, and reduces measurement complexity from quadratic to linear in the number of parameters. We demonstrate by a simulation of the transverse-field Ising model that our algorithm achieves a several orders of magnitude improvement in the number of measurements required for the same accuracy.
Cite
@article{arxiv.2409.12018,
title = {Operator-Projected Variational Quantum Imaginary Time Evolution},
author = {Aeishah Ameera Anuar and Francois Jamet and Fabio Gironella and Fedor Simkovic and Riccardo Rossi},
journal= {arXiv preprint arXiv:2409.12018},
year = {2024}
}