Gaussian capacity of the quantum bosonic memory channel with additive correlated Gaussian noise

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 84, Issue 3, 2011, Pages

  Schäfer, Joachim ^a   Karpov, Evgueni ^a   Cerf, Nicolas J ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVE GAUSSIAN NOISE; BOSONIC MEMORY CHANNELS; CORRELATED GAUSSIAN NOISE; ENTANGLED INPUT STATE; GAUSS-MARKOV; GAUSSIANS; INPUT ENERGY; INPUT STATE; NOISE CORRELATION; QUANTUM MEMORY CHANNELS; TRANSMISSION RATES;

ALGORITHMS; ENCODING (SYMBOLS); GAUSSIAN NOISE (ELECTRONIC); OPTIMIZATION; QUANTUM ENTANGLEMENT;

GAUSSIAN DISTRIBUTION;

EID: 80052778401     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.84.032318     Document Type: Article

References (35)

1. K. Matsumoto and F. Yura, J. Phys. A: Math. Gen. 0305-4470 10.1088/0305-4470/37/15/L03 37, L167 (2004). (Pubitemid 38554269)
2. C. King, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.2004.839515 49, 221 (2003).
3. V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.027902 92, 027902 (2004).
4. M. B. Hastings, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys1224 5, 255 (2009).
5. D. Kretschmann and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.062323 72, 062323 (2005). (Pubitemid 43272778)
6. C. Macchiavello and G. M. Palma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.050301 65, 050301(R) (2002).
7. C. Macchiavello, G. M. Palma, and S. Virmani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.010303 69, 010303 (R) (2004).
8. D. Daems, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.012310 76, 012310 (2007). (Pubitemid 47115635)
9. E. Karpov, D. Daems, and N. J. Cerf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.032320 74, 032320 (2006). (Pubitemid 44414729)
10. V. Karimipour and L. Memarzadeh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.032332 74, 032332 (2006). (Pubitemid 44465436)
11. G. Bowen, I. Devetak, and S. Mancini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.034310 71, 034310 (2005). (Pubitemid 40648563)
12. N. J. Cerf, J. Clavareau, C. Macchiavello, and J. Roland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042330 72, 042330 (2005). (Pubitemid 41776317)
13. V. Giovannetti and S. Mancini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.062304 71, 062304 (2005). (Pubitemid 41481140)
14. O. V. Pilyavets, V. G. Zborovskii, and S. Mancini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.052324 77, 052324 (2008). (Pubitemid 351706822)
15. C. Lupo, O. V. Pilyavets, and S. Mancini, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/6/063023 11, 063023 (2009).
16. J. Schäfer, D. Daems, E. Karpov, and N. J. Cerf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.062313 80, 062313 (2009).
17. O. V. Pilyavets, C. Lupo, and S. Mancini, e-print arXiv: 0907.1532v2 [quant-ph].
18. C. Lupo, V. Giovannetti, and S. Mancini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.030501 104, 030501 (2010).
19. C. Lupo and S. Mancini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.052314 81, 052314 (2010).
20. C. M. Caves and P. D. Drummond, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.481 66, 481 (1994). (Pubitemid 24793181)
21. A. S. Holevo, M. Sohma, and O. Hirota, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.1820 59, 1820 (1999). (Pubitemid 40648329)
22. T. Hiroshima, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012330 73, 012330 (2006). (Pubitemid 43270037)
23. J. S. Lee and R. H. French. and Y. K. Hong IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.1981.1056375 27, 489 (1981).
24. T. M. Cover and J. A. Thomas, Elements of Information Theory (John Wiley & Sons, New York, 1991).
25. A. S. Holevo, Probl. Peredachi Inf. 9, 3 (1973).
26. B. Schumacher and M. D. Westmoreland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.131 56, 131 (1997).
27. A. S. Holevo, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.651037 44, 269 (1998).
28. V. Giovannetti, S. Lloyd, L. Maccone, J. H. Shapiro, and B. J. Yen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.022328 70, 022328 (2004).
29. S. Lloyd, e-print arXiv: 0906.2758v3 [quant-ph].
30. A. Serafini, J. Eisert, and M. M. Wolf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012320 71, 012320 (2005). (Pubitemid 40648658)
31. S. M. Stefanov, Comput. Optim. Appl. CPPPEF 0926-6003 10.1023/A:1008739510750 18, 27 (2001). (Pubitemid 32248168)
32. H. von Storch and F. W. Zwiers, Statistical Analysis in Climate Research (Cambridge University Press, Cambridge, 1999).
33. C. Lupo, L. Memarzadeh, and S. Mancini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.042328 80, 042328 (2009).
34. R. M. Gray, Found. Trends Commun. Inf. Theory 1567-2190 10.1561/0100000006 2, 155 (2006).
35. W. A. Fuller, Introduction to Statistical Time Series (Wiley, New York, 1996).