Some directions beyond traditional quantum secret sharing

Sudhir Kumar Singh, R Srikanth
<span title="2008-05-21">2008</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="" style="color: black;">Physica Scripta</a> </i> &nbsp;
We investigate two directions beyond the traditional quantum secret sharing (QSS). First, a restriction on QSS that comes from the no-cloning theorem is that any pair of authorized sets in an access structure should overlap. From the viewpoint of application, this places an unnatural constraint on secret sharing. We present a generalization, called assisted QSS (AQSS), where access structures without pairwise overlap of authorized sets is permissible, provided some shares are withheld by the
more &raquo; ... re dealer. We show that no more than λ-1 withheld shares are required, where λ is the minimum number of partially linked classes among the authorized sets for the QSS. Our result means that such applications of QSS need not be thwarted by the no-cloning theorem. Secondly, we point out a way of combining the features of QSS and quantum key distribution (QKD) for applications where a classical information is shared by quantum means. We observe that in such case, it is often possible to reduce the security proof of QSS to that of QKD.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1088/0031-8949/77/06/065007</a> <a target="_blank" rel="external noopener" href="">fatcat:y4ugp4fm4rh57mrapgf7tn5rmi</a> </span>
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