doi:10.1088/1674-1056/ac6497

Improving the teleportation of quantum Fisher information under non-Markovian environment

doi: 10.1088/1674-1056/ac6497

1.
School of Information Engineering, Jiangxi University of Science and Technology,Ganzhou 341000,China
2.
College of Physics and Electronic Information, Gannan Normal University,Ganzhou 341000,China

摘要

Abstract: Quantum teleportation is designed to send an unknown quantum state between two parties. In the perspective of remote quantum metrology, one may be interested in teleporting the information that is encoded by physical parameters synthesized by quantum Fisher information (QFI). However, the teleported QFI is often destroyed by the unavoidable interaction between the system and the environment. Here, we propose two schemes to improve the teleportation of QFI in the non-Markovian environment. One is to control the quantum system through the operations of weak measurement (WM) and corresponding quantum measurement reversal (QMR). The other is to modify the quantum system based on the monitoring result of the environment (i.e., environment-assisted measurement, EAM). It is found that, in the non-Markovian environment, these two schemes can improve the teleportation of QFI. By selecting the appropriate strengths of WM and QMR, the environment noise can be completely eliminated and the initial QFI is perfectly teleported. A comprehensive comparison shows that the second scheme not only has a higher probability of success than the first one, but also has a significant improvement of the teleported QFI.
- weak measurement /
- environment-assisted measurement /
- teleportation of quantum Fisher information

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1. The circuit of quantum teleportation under the non-Markovian noise.

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2. The teleported QFI F ^ϕ as a function of λt under the non-Markovian environment with γ ₀ = 10 λ, γ ₀ = 20 λ and γ ₀ = 100 λ. The other parameter is θ = π/2.

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3. figure caption The teleported QFI $F_{opt 1}^{ϕ}$ as a function of the dimensionless λt and the WM strength p. The other parameters are γ ₀ = 20 λ and θ = π/2.

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4. The probability of success P ₁ versus λt and the WM strength p. The other parameters are γ ₀ = 20 λ and θ = π/2.

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5. The teleported QFI $F_{2}^{ϕ}$ as a function of the time λt ((solid black line) no operation, (blue dotted lines) q′ = 0, (rose red dotted line) $q^{'} = q_{opt}^{'}$ ). The other parameters are γ ₀ = 20 λ and θ = π/2.

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6. The contour plot of $F_{imp}^{av}$ as a function of the p and λt. The other parameters are γ ₀ = 20 λ and θ = π/2.

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