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The measurement-device-independent quantum key distribution (MDI QKD) wasproposed to make BB84 completely free from any side-channel in detectors. Likein prepare & measure QKD, the use of other protocols in MDI setting would beadvantageous in some practical situations. In this paper, we consider SARG04protocol in MDI setting. The prepare & measure SARG04 is proven to be able togenerate a key up to two-photon emission events. In MDI setting we show thatthe key generation is possible from the event with single or two-photonemission by a party and single-photon emission by the other party, but thetwo-photon emission event by both parties cannot contribute to the keygeneration. On the contrary to prepare & measure SARG04 protocol where theexperimental setup is exactly the same as BB84, the measurement setup forSARG04 in MDI setting cannot be the same as that for BB84 since the measurementsetup for BB84 in MDI setting induces too many bit errors. To overcome thisproblem, we propose two alternative experimental setups, and we simulate theresulting key rate. Our study highlights the requirements that MDI QKD poses onus regarding with the implementation of a variety of QKD protocols.

Measurement-device-independent quantum key distribution for Scarani-Acin-Ribordy-Gisin 04 protocol