Abstract
We propose a protocol where one can realize quantum cloning of an unknown two-particle entangled state and its orthogonal-complement state with assistance offered by a state preparer. The first stage of the protocol requires usual teleportation using a (or two) four-particle entangled state(s) as quantum channel(s). In the second stage of the protocol, with the assistance (through a two-particle projective measurement) of the preparer, the perfect copies and complement copies of an unknown state can be produced.
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References
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., and Wootters, W. K. (1993). Physical Review Letters 70, 1895.
Bennett, C. H. and Wiesner, S. J. (1992). Physical Review Letters 69, 2881.
Bruβ, D., DiVincenzo, D. P., Ekert, A., Fuchs, C. A., Macchiavello, C., and Smolin, J. A. (1998). Physical Review A 57, 2368.
Bruβ, D. and Macchiavello, C. (2001). Journal of Physics A: Mathematical and General 34, 6815.
Bužek, V. and Hillery, M. (1996). Physical Review A 54, 1844.
Dieks, D. (1982). Physics Letters A 92, 271.
Duan, L. M. and Guo, G. C. (1998). Physical Review Letters 80, 4999.
Ekert, A. K. (1991). Physical Review Letters 67, 661.
Feng, Y., Zhang, S., and Ying, M. (2002). Physical Review A 65, 042324.
Gisin, N. and Massar, S. (1997). Physical Review Letters 79, 2153.
Greenberger, D. M., Horne, M. A., and Zeilinger, A. (1989). Bell's Theorem, Quantum Theory and Conceptions of the Universe, M. Kafatos, eds., Kluwer Academic Publishers, Dordrecht.
Hillery, M. and Bužek, V. (1997). Physical Review A 56, 1212.
Murao, M., Jonathan, D., Plenio, M. B., and Vedral, V. (1999). Physical Review A 59, 156.
Nielsen, M. A. and Chuang, I. L. (2000). Quantum Computation and Quantum Information (Cambridge University Press, Cambridge).
Pati, A. K. (2000). Physical Review A 61, 022308.
Pati, A. K. (2001). Physical Review A 63, 014302.
Qiu, D. (2002). Physical Review A 65, 052319.
Wootters, W. K. and Zerek, W. H. (1982). Nature 299, 802.
Zou, X. B., Pahlke, K., and Mathis, W. (2003). Physical Review A 67, 024304.
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Zhan, YB. Quantum Cloning of an Unknown Two-Particle Entangled State with Assistance. Int J Theor Phys 44, 1541–1548 (2005). https://doi.org/10.1007/s10773-005-4783-x
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DOI: https://doi.org/10.1007/s10773-005-4783-x