Abstract
Entangling an unknown qubit with one type of reference state is generally impossible. However, entangling an unknown qubit with two types of reference states is possible. To achieve this, we introduce a new class of states called zero sum amplitude (ZSA) multipartite, pure entangled states for qubits and study their salient features. Using shared-ZSA states, local operations and classical communication, we give a protocol for creating multipartite entangled states of an unknown quantum state with two types of reference states at remote places. This provides a way of encoding an unknown pure qubit state into a multiqubit entangled state.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C H Bennett, H J Bernstein, S Popescu and B Schumacher, Phys. Rev. A53, 2046 (1996)
C Bennett, G Brassard, C Crepeau, R Jozsa, A Peres, and W K Wooters, Phys. Rev. Lett. 70, 1895 (1993)
C H Bennett and S Wiesner, Phys. Rev. Lett. 69, 2881 (1992)
M Zukowski, A Zeilinger, M A Horne and E Ekert, Phys. Rev. Lett. A71, 4278 (1993)
S Bose, V Vedral and P Knight, Phys. Rev. A57, 822 (1998)
A K Pati, Phys. Rev. A63, 014320-1 (2001)
H K Lo, Phys. Rev. A62, 012313 (2000)
C H Bennett, D P DiVincenzo, J A Smolin, B M Terhal and W K Wootters, Phys. Rev. Lett. 87, 077902 (2001)
S F Huelga, J A Vaccaro, A Chefless and M B Plenio, Phys. Rev. A63, 042303 (2001)
M Murao et al, Phys. Rev. A59, 156 (1999)
M Murao and V Vedral, Phys. Rev. Lett. 86, 352 (2001)
W K Wootters and W H Zurek, Nature 299, 802 (1982)
D Dieks, Phys. Lett. A92, 271 (1982)
A K Pati and S L Braunstein, Nature 404, 164 (2000)
V Buzek, M Hillery and R F Werner, Phys. Rev. A60, R2626 (1999)
V Buzek and M Hillery, Phys. Rev. A62, 022303 (2000)
V Buzek and M Hillery, Phys. Rev. A62, 052303 (2000)
A Barenco, A Berthiaume, D Deutsch, A Ekert, R Jozsa and C Macchiavello, SIAM J. Comput. 26, 1541 (1997)
O Cohen and T Brun, Phys. Rev. Lett. 84, 5908 (2000)
V Coffman, J Kundu and W K Wooters, Phys. Rev. A61, 052306 (2000)
T Brun and O Cohen, Phys. Lett. A281, 88 (2001)
W Dür, G Vidal and J I Cirac, Phys. Rev. A62, 062314-1 (2000)
N Gisin and H B Pasquinucci, Phys. Lett. A246, 1 (1998)
A Peres, Phys. Rev. Lett. 77, 1413 (1996)
M Horodecki, P Horodecki and R Horodecki, Phys. Lett. A223, 1 (1996)
C H Bennett, D P DiVincenzo, J Smolin and W K Wootters, Phys. Rev. A54, 3824 (1996)
W K Wootters, quant-ph/9709029
A K Pati, Quantum cryptography using zero sum amplitude entangled states (in preparation)
G Vidal, W Dür and J I Cirac, Phys. Rev. Lett. 85, 658 (2000)
S Popescu and D Rohrlich, Phys. Rev. A56, R3319 (1997)
A Ekert and P Knight, Am. J. Phys. 63, 415 (1995)
A K Pati, Phys. Lett. A278, 118 (2000)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pati, A.K. Quantum cobwebs: Universal entangling of quantum states. Pramana - J Phys 59, 221–228 (2002). https://doi.org/10.1007/s12043-002-0111-7
Issue Date:
DOI: https://doi.org/10.1007/s12043-002-0111-7