• Letter

State-dependent error bound for digital quantum simulation of driven systems

Takuya Hatomura
Phys. Rev. A 105, L050601 – Published 13 May 2022

Abstract

Digital quantum simulation is a promising application of quantum computers where quantum dynamics is simulated by using quantum gate operations. Many techniques for decomposing a time-evolution operator of quantum dynamics into simulatable quantum gate operations have been proposed, whereas these methods cause some errors. To evaluate these errors, we derive a lower bound for overlap between true dynamics and digital simulated dynamics at the final time. Our result enables us to guarantee how obtained digital simulated dynamics is close to unknown true dynamics. We also extend our formalism to error evaluation of digital quantum simulation on noisy quantum computers.

  • Figure
  • Figure
  • Received 6 January 2022
  • Accepted 25 April 2022

DOI:https://doi.org/10.1103/PhysRevA.105.L050601

©2022 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & Technology

Authors & Affiliations

Takuya Hatomura*

  • NTT Basic Research Laboratories & NTT Research Center for Theoretical Quantum Physics, NTT Corporation, Kanagawa 243-0198, Japan

  • *takuya.hatomura.ub@hco.ntt.co.jp

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Issue

Vol. 105, Iss. 5 — May 2022

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