Abstract
Two modified measurement-device-independent quantum key distribution protocols based on the decoherence-free subspace are presented in this study. The proposed protocols are tolerant of the fault with collective-rotation noise and collective-dephasing noise. Exploiting the logical qubits comprised by two pairs of entanglement photons in decoherence-free subspace states, the mutually unbiased bases are formed by introducing the spatial degrees of freedom which reduces the experiment difficulty. There are only Bell-state preparation and collective Bell-state measurement needed in our protocols. Moreover, a brief discussion on the security of the proposal in the communication process is given.



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This work is supported by National Natural Science Foundation of China, Grant No. 11204377. Specialized Research Fund for the Doctoral Program of Higher Education, Grant No. 20124307120005.
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Li, CY. Fault-tolerant measurement-device-independent quantum key distribution in a decoherence-free subspace. Quantum Inf Process 17, 287 (2018). https://doi.org/10.1007/s11128-018-2003-x
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DOI: https://doi.org/10.1007/s11128-018-2003-x