Quantum key agreement (QKA) is an important primitive of quantum cryptography and has attracted continuous attention. However, in practical QKA, the imperfections of the honest participant's detectors can be exploited by the dishonest participant to compromise the security of QKA. To remove all the detector-side-channels, we report the first detector-device-independent (DDI) QKA(DDI-QKA) protocol based on single-photon Bell-state measurement. Only the time-bin and path encoding are needed. Complete Bell-state measurement can be achieved based on the time-bin and path encoding. It is shown that the proposed protocol satisfies three conditions of a secure QKA protocol in theory, i.e., correctness, fairness, and security. Furthermore, it is implemented with linear optical elements only and thus it is feasible with current technology.
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