Reducing the quantum communication cost of quantum secret sharing

Details Reducing the quantum communication cost of quantum secret sharing Reducing the quantum communication cost of quantum secret sharing

2011-08-29

arxiv.org/abs/1108.5541v2

Physics

Quantum Physics

8 pages, 1 figure; v2: Corrected typos and acknowledgements

Scientific paper

We demonstrate a construction for perfect quantum secret sharing (QSS) schemes based on imperfect "ramp" secret sharing combined with classical encryption, in which the individual parties' shares are split into quantum and classical components, allowing the former to be of lower dimension than the secret itself. We show that such schemes can be performed with smaller quantum components and lower overall quantum communication than required for existing methods. Finally, we demonstrate that one may further combine both imperfect quantum and imperfect classical secret sharing to produce an overall perfect QSS scheme; we construct examples of such schemes and prove that they have the smallest quantum and classical share components possible for their access structures.

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