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Decoherence of Einstein–Podolsky–Rosen steering and the teleportation fidelity in the dynamical Casimir effect

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Abstract

We investigate the dissipative evolution of the Einstein–Podolsky–Rosen steering and the teleportation fidelity of the dynamical Casimir radiations in the thermal equilibrium environments. We consider two kinds of thermal equilibrium environments. One is the initial environments of the samples which produced the nonclassical dynamical Casimir radiations. The other is the thermal equilibrium environments in the transmission lines which are coupled to a low-noise amplifier of low temperature. In this paper, we observe that a high temperature of the environments results in a faster decoherence of steering and fidelity. The large detuning will accelerate the sudden death of one-way steering from Bob to Alice and fidelity, or vice versa. Moreover, we observe that if most of the damping is placed on Bob, the decoherence of one-way steering from Alice to Bob will be faster, while the one-way steering from Bob to Alice and fidelity are the opposite. However, when most of the thermal noise is placed on Alice in the transmission lines, the steering and fidelity are the most insensitive. It shows that it is important to choose the suitable asymmetric noise channel to protect the directional Einstein–Podolsky–Rosen steering.

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Funding

This study was supported by Natural National Science Foundation of China (NSFC) (11175044, 11347190).

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Authors and Affiliations

  1. Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun, 130024, China

    Yumei Long, Xue Zhang & Taiyu Zheng

  2. Center for Advanced Optoelectronic Functional Materials Research, and Key Laboratory for UV-Emitting Materials and Technology of Ministry of Education, Northeast Normal University, Changchun, 130024, China

    Yumei Long, Xue Zhang & Taiyu Zheng

Authors
  1. Yumei Long
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  2. Xue Zhang
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  3. Taiyu Zheng
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Contributions

YL conceived the idea and performed the calculations with the aid of TZ and XZ. YL, TZ and XZ performed the analyses. YL wrote the manuscript with the input of XZ. All authors contributed to the paper.

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Correspondence to Xue Zhang or Taiyu Zheng.

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Long, Y., Zhang, X. & Zheng, T. Decoherence of Einstein–Podolsky–Rosen steering and the teleportation fidelity in the dynamical Casimir effect. Quantum Inf Process 19, 322 (2020). https://doi.org/10.1007/s11128-020-02833-z

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