Abstract
First, we show how the quantum circuits for generating and measuring multi-party entanglement of qubits can be translated to continuous quantum variables. We derive sufficient inseparability criteria for N-party continuous-variable states and discuss their applicability. Then, we consider a family of multipartite entangled states (multi-party multi-mode states with one mode per party) described by continuous quantum variables and analyze their properties. These states can be efficiently generated using squeezed light and linear optics.
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References
E. Schmidt, Math. Annalen 63, 433 (1906).
J. S. Bell, Physics (N.Y.) 1, 195 (1964).
C. H. Bennett et al., Phys. Rev. A 53, 2046 (1996).
C. H. Bennett et al., Phys. Rev. A 54, 3824 (1996).
R. F. Werner, Phys. Rev. A 40, 4277 (1989).
A. Peres, Phys. Rev. Lett. 77, 1413 (1996).
M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996).
M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998).
D. P. DiVincenzo et al., Phys. Rev. A 61, 062312 (2000).
M. Horodecki and P. Horodecki, Phys. Rev. A 59, 4206 (1999).
R. Horodecki, P. Horodecki, and M. Horodecki, Phys. Lett. A 210, 377 (1996).
M. A. Nielsen and J. Kempe, Phys. Rev. Lett. 86, 5184 (2001).
D. F. Walls and G. J. Milburn, Quantum. Optics, Springer Verlag Berlin Heidelberg New York (1994).
R. Simon, Phys. Rev. Lett. 84, 2726 (2000).
D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990).
D. N. Klyshko, Phys. Lett. A 172, 399 (1993)
N. Gisin and H. Bechmann-Pasquinucci, Phys. Lett. A 246, 1 (1998).
W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A 62, 062314 (2000).
W. Dür, J. I. Cirac, and R. Tarrach, Phys. Rev. Lett. 83, 3562 (1999).
P. van Loock and S. L. Braunstein, Phys. Rev. Lett. 84, 3482 (2000).
M. Dŭsek, Los Alamos arXive quant-ph/0107119 (2001).
E. Knill, R. Laflamme, and G. J. Milburn, Nature 409, 46 (2001).
A. Furusawa et al., Science 282, 706 (1998).
D. Bouwmeester et al., Phys. Rev. Lett. 82, 1345 (1999).
D. Boschi et al., Phys. Rev. Lett. 80, 1121 (1998).
S. Bose, V. Vedral, and P. L. Knight, Phys. Rev. A 57, 822 (1998).
L.-M. Duan et al., Phys. Rev. Lett. 84, 2722 (2000).
G. Giedke et al., Phys. Rev. A 64, 052303 (2001).
P. van Loock, Fortschr. d. Phys., to appear.
W. P. Bowen, P. K. Lam, and T. C. Ralph, Los Alamos arXive quantph/0104108 (2001).
S. J. van Enk, Phys. Rev. A 60, 5059 (1999).
P. van Loock and S. L. Braunstein, Phys. Rev. Lett. 87, 247901 (2001).
N. D. Mermin, Phys. Rev. Lett. 65, 1838 (1990).
P. van Loock and S. L. Braunstein, Phys. Rev. A 63, 022106 (2001).
K. Banaszek and K. Wodkiewicz, Phys. Rev. A 58, 4345 (1998).
A. Royer, Phys. Rev. A 15, 449 (1977)
H. Moya-Cessa and P. L. Knight, Phys. Rev. A 48, 2479 (1993).
G. Li et al., J. of Mod. Opt. 49, 237 (2002).
S. M. Tan, Phys. Rev. A 60, 2752 (1999).
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© 2003 Kluwer Academic Publishers
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van Loock, P., Braunstein, S.L. (2003). Multipartite Entanglement for Continuous Variables. In: Braunstein, S.L., Pati, A.K. (eds) Quantum Information with Continuous Variables. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-1258-9_12
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DOI: https://doi.org/10.1007/978-94-015-1258-9_12
Publisher Name: Springer, Dordrecht
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