Abstract
We investigate the usefulness of the highly entangled five-partite cluster and Brown states for the quantum information splitting (QIS) of a special kind of two-qubit state using remote state preparation. In our schemes, the information that is to be shared is known to the sender. We show that, QIS can be accomplished with just two classical bits, as opposed to four classical bits, when the information that is to be shared is unknown to the sender. The present algorithm, demonstrated through the cluster and Brown states is deterministic as compared to the previous works in which it was probabilistic.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
MA Nielsen and I L Chuang, Quantum computation and quantum information, (Cambridge University Press, 2002)
M B Plenio and S Virmani, Quantum Inf. Comput. 7, 1 (2007)
C H Bennett, G Brassard, C Crepeau, R Jozsa, A Peres and W K Wootters, Phys. Rev. Lett. 70, 1895 (1993)
D Bouwmeester, J W Pan, K Mattle, M Eibl, H Weinfurter and A Zeilinger, Nature (London) 390, 575 (1997)
M Riebe, H Hffner, C F Roos, W Hnsel, J Benhelm, G P T Lancaster, T W Krber, C Becher, F S Kaler, D F V James and R Blatt, Nature (London) 429, 734 (2004)
M D Barrett, J Chiaverini, T Schaetz, J Britton, W M Itano, J D Jost, E Knill, C Langer, D Leibfried, R Ozeri and D J Wineland, Nature (London) 429, 737 (2004)
G Rigolin, Phys. Rev. A71, 032303 (2005)
Y Yeo and W K Chua, Phys. Rev. Lett. 96, 060502 (2006)
S Muralidharan and P K Panigrahi, Phys. Rev. A77, 032321 (2008)
S Muralidharan and P K Panigrahi, eprint quant-ph/0802.3484
Q Zhang, A Goebel, C Wagenknecht, Y A Chen, B Zhao, T Yang, A Mair, J Schmiedmayer and J W Pan, Nature (London) 2, 678 (2006)
D D B Rao, P K Panigrahi and C Mitra, Phys. Rev. A78, 022336 (2008)
M Hillery, V Buzek and A Berthiaume, Phys. Rev. A59, 1829 (1999)
S B Zheng, Phys. Rev. A74, 054303 (2006)
C Schmid, P Trojek, M Bourennane, C Kurtsiefer, M Zukowski and H Weinfurter, Phys. Rev. Lett. 95, 230505 (2005)
A K Pati, Phys. Rev. A63, 014302 (2000)
C H Bennett, D P DiVincenzo, P W Shor, J A Smolin, B M Terhal and W K Wootters, Phys. Rev. Lett. 87, 077902 (2001)
S Muralidharan and P K Panigrahi, eprint quant-ph/0802.0781
R Raussendorf and H J Briegel, Phys. Rev. Lett. 86, 5188 (2001)
I D K Brown, S Stepney, A Sudbery and S L Braunstein, J. Phys. A38, 1119 (2005)
P Agrawal and B Pradhan, eprint quant-ph/0707.4295v2
A Borras, A R Plastino, J Batle, C Zander, M Casas and A Plastino, J. Phys. A: Math. Gen. 40, 13407 (2007)
Z J Zhang and C Y Cheung, J. Phys. B: At. Mol. Opt. Phys. 41, 015503 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Panigrahi, P.K., Karumanchi, S. & Muralidharan, S. Minimal classical communication and measurement complexity for quantum information splitting of a two-qubit state. Pramana - J Phys 73, 499–504 (2009). https://doi.org/10.1007/s12043-009-0102-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12043-009-0102-z