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Phys. Rev. A 59, 1829–1834 (1999)

Quantum secret sharing

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Mark Hillery1, Vladimír Bužek2, and André Berthiaume3
1Department of Physics and Astronomy, Hunter College, City University of New York, 695 Park Avenue, New York, New York 10021
2Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 842 28 Bratislava, Slovakia
3School of CTI, DePaul University, 243 South Wabash Avenue, Chicago, Illinois 60604-2302

Received 18 June 1998; revised 14 September 1998; published in the issue dated March 1999

Secret sharing is a procedure for splitting a message into several parts so that no subset of parts is sufficient to read the message, but the entire set is. We show how this procedure can be implemented using Greenberger-Horne-Zeilinger (GHZ) states. In the quantum case the presence of an eavesdropper will introduce errors so that his presence can be detected. We also show how GHZ states can be used to split quantum information into two parts so that both parts are necessary to reconstruct the original qubit.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.59.1829
DOI:
10.1103/PhysRevA.59.1829
PACS:
03.67.Dd, 03.65.Bz, 89.70.+c