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Quantum state transfer through a spin chain in two non-Markovian baths

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Abstract

Transfer of quantum states through spin chain system has been discussed a lot. However, the interaction of the system with a noisy environment needs to be considered for practical quantum information processing tasks. Here, we study a model where the two ends of the spin chain are independently immersed in two bosonic baths. Using the quantum state diffusion (QSD) equation approach, we obtain the master equation of the system. Assuming a noise-independent O operator associated with the QSD equation, we numerically calculate the fidelity evolution for two models of system–bath interactions: dephasing model and dissipation model. For these two models, our calculation shows that the existence of the baths always lowers the fidelity, but the non-Markovianity from the baths can be useful for enhancing the state transfer fidelity. Our investigation takes one step toward practical quantum communication through a spin system.

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Acknowledgements

We thank Dr. Quanzhen Ding and Dr. Dawei Luo for helpful discussions. This material is based upon work supported by the NSFC (Grants Nos. 11475160, 61575180), the Natural Science Foundation of Shandong Province (Grants Nos. ZR2014AM023, ZR2014AQ026). Z.M.W. thanks the China Scholarship Council (CSC) No. 201606335034 for this scholarship.

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Authors and Affiliations

  1. College of Information Science and Engineering, Ocean University of China, Qingdao, 266100, China

    Feng-Hua Ren, Zhao-Ming Wang & Yong-Jian Gu

  2. College of Information and Control Engineering, Qingdao Technology University, Qingdao, 266520, China

    Feng-Hua Ren

  3. Department of Physics, Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    Feng-Hua Ren & Zhao-Ming Wang

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  1. Feng-Hua Ren
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Correspondence to Zhao-Ming Wang or Yong-Jian Gu.

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Ren, FH., Wang, ZM. & Gu, YJ. Quantum state transfer through a spin chain in two non-Markovian baths. Quantum Inf Process 18, 193 (2019). https://doi.org/10.1007/s11128-018-2164-7

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