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The fully symmetric Gaussian tripartite entangled pure states will notexhibit two-mode Einstein Podolsky-Rosen (EPR)-steering. This means that anytwo participants cannot share quantum secrets using the security of one-sideddevice independent quantum key distribution (1SDI-QKD) without involving thethird. They are restricted at most to standard quantum key distribution(S-QKD), which is less secure. Here we show that least some asymmetrictripartite systems can exhibit bipartite EPR-steering, so that two of theparticipants can use 1SDI-QKD without involving the other. This is possiblebecause the promiscuity relations of continuous-variable tripartiteentanglement are different from those of discrete-variable systems. We analysethese properties for two different systems, showing that the asymmetric systemhas an extra degree of flexibility not found in the symmetric one.

The versatility of continuous-variable asymmetric tripartite entanglement allows Alice and Clare to keep secrets from Bob