Abstract
Utilizing a general joint remote state preparation (JRSP) model, we investigate the JRSP of an arbitrary two-qubit quantum state in noisy environments. Two important decoherence noise models, the amplitude-damping noise and the phase-damping noise, have been considered in our paper. Our investigation of the noisy environment mainly focuses on the process of distributing the channel state. We use fidelity to describe how close the output state with the prepared state are, and how much information has been lost in the transmission. Interestingly, studies show that, if the initial state is successfully prepared, the fidelities in these two cases will only depend on the amplitude parameter of the initial state and the decoherence noisy rate, but have nothing to do with the phase information. Finally, we make some discussions for these two cases to show that in which noisy environment more information will be lost.
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Acknowledgements
Project supported by NSFC (Grant Nos. 61272514, 61003287, 61170272, 61121061, 61161140320), NCET (Grant No. NCET-13-0681), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20100005120002), the Fok Ying Tong Education Foundation (Grant No. 131067) and the Fundamental Research Funds for the Central Universities (Grant No. BUPT2012RC0221).
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Guan, XW., Chen, XB., Wang, LC. et al. Joint Remote Preparation of an Arbitrary Two-Qubit State in Noisy Environments. Int J Theor Phys 53, 2236–2245 (2014). https://doi.org/10.1007/s10773-014-2024-x
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DOI: https://doi.org/10.1007/s10773-014-2024-x