The Effect of Noise on the Performance of Variational Algorithms for Quantum Chemistry

Waheeda Saib, Petros Wallden, Ismail Akhalwaya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Variational quantum algorithms are suitable for use on noisy quantum systems. One of the most important use-cases is the quantum simulation of materials, using the variational quantum eigensolver (VQE). To optimize VQE performance, a suitable parameterized quantum circuit (ansatz) must be selected. We investigate a class of ansatze that incorporates knowledge of the quantum hardware, namely the hardware efficient ansatze. The performance of hardware efficient ansatze is affected differently by noise, and our goal is to study the effect of noise on evaluating which ansatz gives more accurate results in practice. First, we study the effect of noise on the different hardware efficient ansatze by benchmarking and ranking the performance of each ansatz family (i) on a chemistry application using VQE and (ii) by the recently established metric of "expressibility". The results demonstrate the ranking of optimal circuits does not remain constant in the presence of noise. Second, we evaluate the suitability of the expressibility measure in this context by performing a correlation study between expressibility and the performance of the same circuits on a chemistry application using VQE. Our simulations reveal a weak correlation and therefore demonstrate that expressibility is not an adequate measure to quantify the effectiveness of parameterized quantum circuits for quantum chemistry. Third, we evaluate the effect of different quantum device noise models on the ordering of which ansatz family is best. Interestingly, we see that to decide which ansatz is optimal for use, one needs to consider the specific hardware used even within the same family of quantum hardware.
Original languageEnglish
Title of host publication2021 IEEE International Conference on Quantum Computing and Engineering (QCE)
EditorsHausi A. Müller, Greg Byrd, Candace Culhane, Travis Humble
Place of PublicationPiscataway, NJ, United States
PublisherIEEE
Pages42-53
Number of pages12
ISBN (Electronic)978-1-6654-1691-7
ISBN (Print)978-1-6654-1692-4
DOIs
Publication statusPublished - 19 Nov 2021
EventIEEE International Conference on Quantum Computing and Engineering
- Online
Duration: 17 Oct 202122 Oct 2021
https://qce.quantum.ieee.org/

Conference

ConferenceIEEE International Conference on Quantum Computing and Engineering
Abbreviated titleQCE 21
Period17/10/2122/10/21
Internet address

Keywords

  • quantum computing
  • variational quantum algorithm
  • quantum noise
  • expressibility

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