Quantum secret sharing - INSPIRE

DataBETA

Quantum secret sharing

Mark Hillery
(
- Hunter Coll.
)
,
Vladimir Buzek
(
- Bratislava, Inst. Phys.
)
,
Andre Berthiaume
(
- De Paul U.
)

Jun, 1998

6 pages

Published in:

Phys.Rev.A 59 (1999) 1829

e-Print:

quant-ph/9806063 [quant-ph]

DOI:

10.1103/PhysRevA.59.1829

View in:

reference search924 citations

Citations per year

Abstract:

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 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.

Note:

6 pages, revtex, revised version, to appear in Phys. Rev. A

References(12)

Figures(0)

[1]

Bruce Schneier, Applied Cryptography (

[1]

New York, 1996) p. 70 see also , Foundations of Computing (Thomson Computer Press, London, 1997) p. 504

J. Gruska

[2]

of International Conference on Computers, Systems, and Signal Processing (Bangalore, India 1984) p. 175

C. Bennett
,
G. Brassard in Proceedings

[3]

Quantum cryptography based on Bell's theorem

Artur K. Ekert
(
- Oxford U.
)

- Phys.Rev.Lett. 67 (1991) 661-663
•
DOI:
- 10.1103/PhysRevLett.67.661

[4]

Quantum cryptography without Bell's theorem

Charles H. Bennett
(
- IBM Watson Res. Ctr.
)
,
Gilles Brassard
(
- Montreal U.
)
,
N.David Mermin
(
- Bhabha Atomic Res. Ctr. and
- Cornell U., LASSP
)

- Phys.Rev.Lett. 68 (1992) 557-559
•
DOI:
- 10.1103/PhysRevLett.68.557

[5]

Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels

Charles H. Bennett
(
- IBM Watson Res. Ctr.
)
,
Gilles Brassard
(
- Montreal U.
)
,
Claude Crepeau
(
- Montreal U. and
- Ecole Normale Supérieure, Paris
)
,
Richard Jozsa
(
- Montreal U.
)
,
Asher Peres
(
- Technion
)

et al.

- Phys.Rev.Lett. 70 (1993) 1895-1899
•
DOI:
- 10.1103/PhysRevLett.70.1895

[5]

Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolski-Rosen channels

D. Boschi
(
- Rome U. and
- INFN, Rome
)
,
S. Branca
(
- Rome U. and
- INFN, Rome
)
,
F. De Martini
(
- Rome U. and
- INFN, Rome
)
,
L. Hardy
(
- Rome U. and
- INFN, Rome
)
,
S. Popescu
(
- Newton Inst. Math. Sci., Cambridge and
- Hewlett-Packard, Bristol
)

- Phys.Rev.Lett. 80 (1998) 1121-1125
•
e-Print:
- quant-ph/9710013
•
DOI:
- 10.1103/PhysRevLett.80.1121

[6]

M. Kaftos (eds.) Theorem, Quantum Theory, and Conceptions of the Universe ( Dordrecht, 1989)

D. Greenberger
,
M. Horne
,
A. Zeilinger in Bell's

[7]

A Multiparticle generalization of entanglement swapping

S. Bose
(
- Imperial Coll., London
)
,
V. Vedral
(
- Imperial Coll., London
)
,
P.L. Knight
(
- Imperial Coll., London
)

- Phys.Rev.A 57 (1998) 822
•
e-Print:
- quant-ph/9708004
•
DOI:
- 10.1103/PhysRevA.57.822

[8]

Substituting quantum entanglement for communication

Richard Cleve
(
- Calgary U.
)
,
Harry Buhrman
(
- Amsterdam, CWI
)

- Phys.Rev.A 56 (1997) 1201
•
e-Print:
- quant-ph/9704026
•
DOI:
- 10.1103/PhysRevA.56.1201

[9]

A single quantum cannot be cloned

W.K. Wootters
(
- Texas U. and
- Caltech
)
,
W.H. Zurek
(
- Texas U. and
- Caltech
)

- Nature 299 (1982) 802-803
•
DOI:
- 10.1038/299802a0

[11]

Quantum copying: Beyond the no cloning theorem

Vladimir Buzek
(
- Hunter Coll. and
- Bratislava, Inst. Phys.
)
,
Mark Hillery
(
- Hunter Coll.
)

- Phys.Rev.A 54 (1996) 1844
•
e-Print:
- quant-ph/9607018
•
DOI:
- 10.1103/PhysRevA.54.1844