Quantifying the Sensitivity to Errors in Analog Quantum Simulation

Pablo M. Poggi, Nathan K. Lysne, Kevin W. Kuper, Ivan H. Deutsch, Poul S. Jessen

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Quantum simulators are widely seen as one of the most promising near-term applications of quantum technologies. However, it remains unclear to what extent a noisy device can output reliable results in the presence of unavoidable imperfections. Here we propose a framework to characterize the performance of quantum simulators by linking the robustness of measured quantum expectation values to the spectral properties of the output observable, which in turn can be associated with its macroscopic or microscopic character. We show that, under general assumptions and on average over all states, imperfect devices are able to reproduce the dynamics of macroscopic observables accurately, while the relative error in the expectation value of microscopic observables is much larger on average. We experimentally demonstrate the universality of these features in a state-of-the-art quantum simulator and show that the predicted behavior is generic for a highly accurate device, without assuming any detailed knowledge about the nature of the imperfections.

Original languageEnglish (US)
Article number020308
JournalPRX Quantum
Volume1
Issue number2
DOIs
StatePublished - Oct 2020
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Computer Science(all)
  • Applied Mathematics
  • Mathematical Physics
  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

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