Abstract
Multipartite correlations, such as entanglement and non-locality, are considered when particles pass through a generalized amplitude-damping channel. Results for pure and mixed states for two qubits suggest that initial mixed states can still be considered provided that their degree of mixture is low enough. Also, the ensuing small values for non-locality suggest that instances involving more than three parties cannot easily be considered for practical purposes.
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References
H-K. Lo, S. Popescu and T. Spiller, Introduction to Quantum Computation and Information (World Scientific, River-Edge, 1998).
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
M. Schlosshauer, Rev. Mod. Phys. 76, 1267 (2005).
A. Galindo and M. A. Martín-Delgado, Rev. Mod. Phys. 74, 347 (2002).
C. P. Williams and S. H. Clearwater, Explorations in Quantum Computing (Springer, New York, 1997).
C. P. Williams, Quantum Computing and Quantum Communications (Springer, Berlin, 1998).
A. Ekert, Phys. Rev. Lett. 67, 661 (1991).
C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1993).
A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 773 (1996).
G. P. Berman, G. D. Doolen, R. Mainieri and V. I. Tsifrinovich, Introduction to Quantum Computers (World Scientific, Singapore, 1998).
L. Amico, R. Fazio, A. Osterloh and V. Vedral, Rev. Mod. Phys. 80, 517 (2008).
J. I. Latorre and A. Riera, J. Phys. A: Math. Theor. 42, 504002 (2009).
N. Rosen, Am. J. Phys. 62, 109 (1994).
H. P. Stapp, Am. J. Phys. 65, 300 (1997).
N. D. Mermim, Am. J. Phys. 66, 920 (1998).
C. A. Fuchs, N. D. Mermin and R. Schack, Am. J. Phys. 82, 749 (2014).
T. Yu and J. H. Eberly, Phys. Rev. Lett. 93, 140404 (2004).
A. Al-Qasimi and D. F. V. James, Phys. Rev. A 77, 012117 (2008).
C. Simon and J. Kempe, Phys. Rev. A 65, 052327 (2002).
A. R. R. Carvalho, F. Mintert and A. Buchleitner, Phys. Rev. Lett. 93, 230501 (2004).
W. Dür and H. J. Briegel, Phys. Rev. Lett. 92, 180403 (2004).
M. Hein, W. Dür and H. J. Briegel, Phys. Rev. A 71, 032350 (2005).
L. Aolita, R. Chaves, D. Cavalcanti, A. Acín and L. Davidovich, Phys. Rev. Lett. 100, 080501 (2008).
O. Gühne, F. Bodoky and M. Blaauboer, Phys. Rev. A 78, 060301 (2008).
M. P. Almeida et al., Science 316, 579 (2007).
A. Salles et al., Phys. Rev. A 78 022322 (2008).
B. Dakic, V. Vedral and C. Brukner, Phys. Rev. Lett. 105, 190502 (2010).
H. Ollivier and W. H. Zurek, Phys. Rev. Lett. 88, 017901 (2001).
A. Ferraro, L. Aolita, D. Cavalcanti, F. M. Cucchietti and A. Acín, Phys. Rev. A 81, 052318 (2010)
S. Datta, Phys. Rev. Lett. 100, 050502 (2008).
S. Lu and S. Fu, Phys. Rev. A 82, 034302 (2010).
C. Brukner, M. Zukowski and A. Zeilinger, Phys. Rev. Lett. 89, 197901 (2002).
J. Barrett, L. Hardy and A. Kent, Phys. Rev. Lett. 95, 010503 (2005)
A. Acín, N. Gisin and Ll. Masanes, Phys. Rev. Lett. 97, 120405 (2006)
A. Acín et al., Phys. Rev. Lett. 98, 230501 (2007).
K. Bartkiewicz, B. Horst, K. Lemr and A. Miranowicz, Phys. Rev. A 88, 052105 (2013).
R. Srikanth and S. Banerjee, Phys. Rev. A. 77 012318 (2008).
K. Kraus, States, Effect, and operation: Fundamental Notions in Quantum Theory (Springer-Verlag, Berlin, 1983).
C. H. Bennett, D. P. DiVicenzo, J. Smolin and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).
W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
P. Zanardi, C. Zalka and L. Faoro, Phys. Rev. A 62, 030301 (2000).
K. Zyczkowski, P. Horodecki, A. Sanpera and M. Lewenstein, Phys. Rev. A 58, 883 (1998).
W. J. Munro, D. F. V. James, A. G. White and P. G. Kwiat, Phys. Rev. A 64, 030302 (2001).
A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993).
J. F. Clauser, M. A. Horne, A. Shimony and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
B. S. Tsirelson, Lett. Math. Phys. 4, 93 (1980)
B. S. Tsirelson, J. Soviet Math. 36, 557 (1987)
B. S. Tsirelson, Hadronic Journal Supplement 8, 329 (1993).
N. D. Mermin, Phys. Rev. Lett. 65, 1838 (1990)
M. Ardehali, Phys. Rev. A 46, 5375 (1992)
A. V. Belinskii and D. N. Klyshko, Phys. Usp. 36, 653 (1993).
N. Gisin and H. Bechmann-Pasquinucci, Phys. Lett. A 246, 1 (1998).
R. F. Werner, Phys. Rev. A 40, 4277 (1989).
T-C. Wei, K. Nemoto, P. M. Goldbart, P. G. Kwiat, W. J. Munro and F. Verstraete, Phys. Rev. A 67, 022110 (2003).
J. Batle, M. Casas, A. Plastino and A. R. Plastino, Phys. Rev. A 71, 024301 (2005).
N. A. Peters, J. B. Altepeter, D. Branning, E. R. Jeffrey, Tzu-Chieh Wei and P. G. Kwiat Phys. Rev. Lett. 92, 133601 (2004).
M. Barbieri, F. De Martini, G. D. Nepi and P. Mataloni, Phys. Rev. Lett. 92, 177901 (2004).
J. Batle and M. Casas, J. Phys. A Math. Theor. 44, 445304 (2011).
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Batle, J., Farouk, A., Alkhambashi, M. et al. Multipartite correlation degradation in amplitude-damping quantum channels. Journal of the Korean Physical Society 70, 666–672 (2017). https://doi.org/10.3938/jkps.70.666
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DOI: https://doi.org/10.3938/jkps.70.666