Quantum entanglement generation on magnons assisted with microwave cavities coupled to a superconducting qubit

doi:10.1007/s11467-022-1253-3

Front. Phys.

2023, Vol. 18

Issue (4) : 41301 https://doi.org/10.1007/s11467-022-1253-3

RESEARCH ARTICLE

Quantum entanglement generation on magnons assisted with microwave cavities coupled to a superconducting qubit

Jiu-Ming Li, Shao-Ming Fei(

)

School of Mathematical Sciences, Capital Normal University, Beijing 100048, China

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Abstract

We present protocols to generate quantum entanglement on nonlocal magnons in hybrid systems composed of yttrium iron garnet (YIG) spheres, microwave cavities and a superconducting (SC) qubit. In the schemes, the YIGs are coupled to respective microwave cavities in resonant way, and the SC qubit is placed at the center of the cavities, which interacts with the cavities simultaneously. By exchanging the virtual photon, the cavities can indirectly interact in the far-detuning regime. Detailed protocols are presented to establish entanglement for two, three and arbitrary N magnons with reasonable fidelities.

Keywords magnon superconducting qubit quantum electrodynamics quantum entanglement indirect interaction

Corresponding Author(s): Shao-Ming Fei

Issue Date: 15 February 2023

Cite this article:

Jiu-Ming Li,Shao-Ming Fei. Quantum entanglement generation on magnons assisted with microwave cavities coupled to a superconducting qubit[J]. Front. Phys. , 2023, 18(4): 41301.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-022-1253-3
https://academic.hep.com.cn/fop/EN/Y2023/V18/I4/41301

Fig.1 Schematic of the hybrid system composed of three yttrium iron garnet spheres coupled to respective microwave cavities. A superconducting qubit (black spot) is placed at the center of the three cavities.

Fig.2 Schematic of the hybrid system composed of two yttrium iron garnet spheres coupled to respective microwave cavities. Two cavities cross each other, and a superconducting qubit (black spot) is placed at the center of the crossing.

Fig.3 (a) The fidelity of the Bell state of two nonlocal magnons with respect to the coupling strength

λ q

. Since

λ ~ q = λ q 2 / Δ 0

in Eq. (3), the fidelity is similar to parabola. (b?d) The fidelity of the Bell state versus the dissipations of cavities, magnons, and SC qubit, respectively.

Fig.4 Evolution probabilities of the states:

P 1 = | C 1, t (3) | 2

for

| 100 ? a | 000 ? m | g ? q

(red),

P 2 = | C 2, t (3) | 2

for

| 010 ? a | 000 ? m | g ? q

P 3 = | C 3, t (3) | 2

for

| 001 ? a | 000 ? m | g ? q

, and

P 2 = P 3

(blue).

Fig.5 (a?c) The fidelity of the entanglement on three nonlocal magnons versus the dissipations of cavities, magnons and SC qubit.

Fig.6 Schematic of the hybrid system composed of N yttrium iron garnet spheres coupled to respective microwave cavities. A superconducting qubit is placed at the center of the N identical microwave cavities.

Fig.7 Evolution probabilities for

N = 4

(a),

N = 5

(b), and

N = 6

(c). If

N ? 5

p 1 (N) ≠ p 2 (N)

implies that the isoprobability entanglement does not exist.

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