---
tags: VQE, NISQ, Noise, Numerical
sort-date: 2023-03-09
description: 2023 APS March Meeting | 9 March 2023 13:30–13:42 PST | Las Vegas, Nevada, United States of America
---

[[/index|Christopher K. Long]]<a href="https://orcid.org/0009-0001-3230-942X"><font color="#a6ce39"><i class='fa-brands fa-orcid'></i></font></a>,
Kieran Dalton<a href="https://orcid.org/0009-0006-2416-356X"><font color="#a6ce39"><i class='fa-brands fa-orcid'></i></font></a>,
David R. M. Arvidsson-Shukur<a href="https://orcid.org/0000-0002-0185-0352"><font color="#a6ce39"><i class='fa-brands fa-orcid'></i></font></a>,
and Normann Mertig<a href="https://orcid.org/0000-0003-3025-7141"><font color="#a6ce39"><i class='fa-brands fa-orcid'></i></font></a>

**Date & time:** 9 March 2023 13:30–13:42 PST

**Location:** Las Vegas, Nevada, United States of America

**Conference:** [2023 APS March Meeting](https://meetings.aps.org/Meeting/MAR23/Content/4348) [@aps_mar23]

I presented work from [[/Articles/Layering and subpool exploration for adaptive variational quantum eigensolvers: Reducing circuit depth, runtime, and susceptibility to noise]] [@PhysRevA.109.042413].

Download slide deck: [[PowerPoints/Iteratively-layered variational quantum eigensolver with shallow ansatz circuits.pptx|PPTX]], [[PDFs/Iteratively-layered variational quantum eigensolver with shallow ansatz circuits.pdf|PDF]]

# Abstract

From Ref. [@aps_mar23_talk]:

> Adaptive variational quantum eigensolvers (VQEs) are a class of quantum algorithms, suitable for finding the ground state of molecular Hamiltonians. Current VQE algorithms are not noise robust enough for implementations on noisy intermediate-scale quantum (NISQ) hardware. Here, we present the Iteratively Layered VQE (IL-VQE) Algorithm. Using non-commutation relations, our algorithm compresses the sparsely and iteratively appended gates in the quantum circuits of adaptive VQEs into packed layers. We numerically demonstrate that IL-VQE constructs shallower, more noise-tolerant circuits than previous methods. We further show that IL-VQE reduces the calls to the NISQ hardware. Ultimately, this work brings the experimental realisation of useful VQE algorithms one step closer.