Abstract
Entangled states are central to the new field of quantum information, including quantum dense coding, teleportation, and computation. However, only a relatively small class of entangled states has been discussed extensively, much less investigated experimentally. In particular, efforts to date have focussed on two particles entangled in a single degree of freedom, for example polarization, or energy, or momentum direction. Novel phase-matching arrangements in spontaneous parametric down-conversion allow the preparation of pairs of photons that are simultaneously entangled in polarization, momentum-direction, and energy. We shall call such a multiply-entangled state “hyper-entangled”. In addition, an even more general state — a non-maximally entangled state — should be realizable, in which the amplitudes of the contributing terms are not equal.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E. Schrödinger, Proc. Camb. Phil. Soc. 31, 555 (1935).
C. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992).
C. Bennett et al., Phys. Rev. Lett. 70, 1895 (1993).
A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991); A. K. Ekert, J. G. Rarity, P. R. Tapster, and G. M. Palma, ibid. 69, 1293 (1992).
A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa, Phys. Rev. Lett. 74, 4083 (1995). T. Sleator and H. Weinfurter, ibid. 74, 4087 (1995). J. I. Cirac and P. Zoller, ibid. 74, 4091 (1995).
P. G. Kwiat et al., Phys. Rev. Lett. 75, 4337 (1995).
J. Brendel, E. Mohler, and W. Martienssen, Europhys.Lett. 20, 575 (1992). P.G. Kwiat, A.E. Steinberg, and R.Y. Chiao, Phys. Rev. A 47, R2472 (1993). P.R. Tapster, J.G. Rarity, and P.C.M. Owens, Phys. Rev. Lett. 73, 1923 (1994).
J. G. Rarity and P. R. Tapster, Phys. Rev. Lett. 64, 2495 (1990).
M. Zukowski and A. Zeilinger, Phys. Lett. A 155, 69 (1991).
T. B. Pittman, Y. H. Shih, A. V. Sergienko, and M. H. Rubin, Phys. Rev. A 51, 3495 (1995).
P. H. Eberhard, Phys. Rev. A 47, R747 (1993).
P. G. Kwiat, P. H. Eberhard, A. M. Steinberg, and R. Y. Chiao, Phys. Rev. A 49, 3209 (1994).
E. Schrödinger, Proc. Am. Phil. Soc. 124, 323 (1980).
D. C. Burnham and D. L. Weinberg, Phys. Rev. Lett. 25, 84 (1970).
J. D. Franson, Phys. Rev. Lett. 62, 2205 (1989).
S. L. Braunstein, A. Mann, and M. Revzen, Phys. Rev. Lett. 68, 3259 (1992).
K. Mattle, H. Weinfurter, P. G. Kwiat, and A. Zeilinger, Phys. Rev. Lett 76, 4656 (1996).
D. V. Strekalov et al., Phys. Rev. A 54, R1 (1996).
P. G. Kwiat and H. Weiniurter, in preparation.
L. Hardy, Phys. Rev. Lett 68, 2981 (1992). L. Hardy, Phys. Lett A 167, 17 (1992).
P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, P. Eberhard and M. Petroff, Phys. Rev. A 48, R867 (1993). P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, P. H. Eberhard and M. D. Petroff, Appl. Opt. 33, 1844 (1994).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Kwiat, P.G. (1997). Production and Uses of Hyper-Entangled States. In: Ferrero, M., van der Merwe, A. (eds) New Developments on Fundamental Problems in Quantum Physics. Fundamental Theories of Physics, vol 81. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5886-2_25
Download citation
DOI: https://doi.org/10.1007/978-94-011-5886-2_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6487-3
Online ISBN: 978-94-011-5886-2
eBook Packages: Springer Book Archive