Realization of nonadiabatic holonomic multiqubit controlled gates with Rydberg atoms

T. H. Xing, P. Z. Zhao, and D. M. Tong
Phys. Rev. A 104, 012618 – Published 29 July 2021

Abstract

Nonadiabatic holonomic gates provide an effective means to perform high-speed and error-resilient manipulation of quantum states. It is practically important to realize nonadiabatic holonomic multiqubit controlled gates since multiqubit controlled gates are widely used in quantum information processing. Rydberg atoms are an appealing physical system for the realization of nonadiabatic holonomic multiqubit controlled gates as the Rydberg-mediated interaction is beneficial to couple two qubits. In this paper, we put forward a scheme for the realization of nonadiabatic holonomic multiqubit controlled gates based on Rydberg atoms, where an (n+1)-qubit controlled-(n·σ) gate can be realized by (2n1) basic operations. Moreover, the effective coupling between two qubits is in the first-order strength of Rabi frequencies, which allows for the implementation of quantum gates within a short duration.

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  • Received 15 February 2021
  • Revised 26 June 2021
  • Accepted 15 July 2021

DOI:https://doi.org/10.1103/PhysRevA.104.012618

©2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

T. H. Xing, P. Z. Zhao*, and D. M. Tong

  • Department of Physics, Shandong University, Jinan 250100, China

  • *zhaopeizi2014@foxmail.com
  • tdm@sdu.edu.cn

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Issue

Vol. 104, Iss. 1 — July 2021

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