  We consider two remote parties connected to a relay by two quantum channels.
To generate a secret key, they transmit coherent states to the relay, where the
states are subject to a continuous-variable (CV) Bell detection. We study the
ideal case where Alice's channel is lossless, i.e., the relay is locally
situated in her lab and the Bell detection is performed with unit efficiency.
This configuration allows us to explore the optimal performances achievable by
CV measurement-device-independent (MDI) quantum key distribution (QKD). This
corresponds to the limit of a trusted local relay, where the detection loss can
be re-scaled. Our theoretical analysis is confirmed by an experimental
simulation where 10^-4 secret bits per use can potentially be distributed at
170km assuming ideal reconciliation.
