Semi-device-independent QKD Based on BB84 and a CHSH-Type Estimation

Device-independent quantum key distribution (QKD) aims to certify the security of a cryptographic key generated between two parties based only on the violation of a Bell inequality. This strongest possible form of QKD requires the manipulation of entanglement, and is thus impossible to implement in a one-way (“prepare and measure”) scheme. Here, we introduce a semi-device-independent QKD scheme in the prepare-and-measure configuration where the only assumption is a bound on the dimension of the Hilbert space, and prove its security against collective attacks. Our scheme can be understood as a modification of the original BB84 protocol where an extra CHSH-type estimation is carried out by Bob on the qubits sent by Alice.

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