| Abstract: | Oblivious key transfer (OKT) is a fundamental problem in the field of secure
multi-party computation. It makes the provider send a secret key sequence to the user
obliviously, i.e., the user may only get almost one bit key in the sequence which is
unknown to the provider. Recently, a number of works have sought to establish the
corresponding quantum oblivious key transfer model and rename it as quantum oblivious
key distribution (QOKD) from the well-known expression of quantum key distribution
(QKD). In this paper, a new QOKD model is firstly proposed for the provider and user
with limited quantum capabilities, where both of them just perform computational basis
measurement for single photons. Then we show that the privacy for both of them can be
protected, since the probability of getting other’s raw-key bits without being detected is
exponentially small. Furthermore, we give the solutions to some special decision
problems such as set-member decision and point-inclusion by announcing the improved
shifting strategies followed QOKD. Finally, the further discussions and applications of
our ideas have been presented. |
