Operator-Projected Variational Quantum Imaginary Time Evolution Article Swipe

PDF

Related Concepts

The Imaginary Imaginary time Operator (biology) Quantum Mathematical physics Mathematics Physics Quantum mechanics Quantum dynamics Supersymmetric quantum mechanics Gene Repressor Psychotherapist Psychology Chemistry Biochemistry Transcription factor

A. A. Bin Anuar , François Jamet , Fabio Gironella , F. Šimkovic , Riccardo Rossi ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2409.12018 · OA: W4403571772

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.