Generation of cat states by a weak parametric drive and a transitionless tracking algorithm

Shuai Liu, Ye-Hong Chen, Yu Wang, Yi-Hao Kang, Zhi-Cheng Shi, Jie Song, and Yan Xia
Phys. Rev. A 106, 042430 – Published 20 October 2022

Abstract

In this paper, we present an experimentally feasible protocol to generate the cat states in the microwave resonator coupled to a superconducting qubit. The setup employs a detuned, time-dependent parametric drive to squeeze the resonator mode so that an adjustable qubit-resonator coupling strength can be obtained. Therefore, based on the transitionless tracking algorithm, we can design control pulses to generate the qubit-resonator entangled states with high fidelity in the laboratory frame. Then, the even and odd cat states can be further obtained by performing measurement on the superconducting qubit. Compared to the scheme [Chen et al., Phys. Rev. Lett. 126, 023602 (2021)], the present protocol is realized in the regime of weak parametric drive. In the case, squeezing-induced noise can be reduced so that the fidelity of the generated state can be improved. Numerical simulations indicate that the present protocol is well executed under experimentally available parameters. Thus, the protocol is feasible with the present state of the art in microwave superconducting circuits.

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  • Received 18 February 2022
  • Accepted 4 October 2022

DOI:https://doi.org/10.1103/PhysRevA.106.042430

©2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Shuai Liu1,2,3,*, Ye-Hong Chen4,5,1,2,*, Yu Wang1,2, Yi-Hao Kang6, Zhi-Cheng Shi1,2, Jie Song6, and Yan Xia1,2,†

  • 1Fujian Key Laboratory of Quantum Information and Quantum Optics (Fuzhou University), Fuzhou 350116, China
  • 2Department of Physics, Fuzhou University, Fuzhou 350116, China
  • 3School of Physics and Electronic Engineering, Hubei University of Arts and Science, Xiangyang 441053, China
  • 4Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research, Wako-shi, Saitama 351-0198, Japan
  • 5RIKEN Center for Quantum Computing (RQC), 2-1 Hirosawa, Wako-shi, Saitama 351-0198, Japan
  • 6Department of Physics, Harbin Institute of Technology, Harbin 150001, China

  • *These authors contributed equally to this work.
  • xia-208@163.com

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Issue

Vol. 106, Iss. 4 — October 2022

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