Qubit channels with small correlations

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 5, 2008, Pages

  Caruso, Filippo ^a   Giovannetti, Vittorio ^a   MacChiavello, Chiara ^b   Ruskai, Mary Beth ^c  

^a CNR   (Italy)

^b UNIVERSITY OF PAVIA   (Italy)

^c TUFTS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); COMMUNICATION SYSTEMS; ELECTRONIC STATES; HEURISTIC ALGORITHMS; QUANTUM ENTANGLEMENT;

QUANTUM CHANNELS; QUBIT CHANNELS;

QUANTUM COMPUTERS;

EID: 43949113321     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.052323     Document Type: Article

References (35)

1. C. H. Bennett and P. W. Shor, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.720553 44, 2724 (1998).
2. C. Macchiavello and G. M. Palma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.050301 65, 050301 (R) (2002).
3. C. Macchiavello, G. M. Palma, and S. Virmani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.010303 69, 010303 (R) (2004).
4. G. Bowen and S. Mancini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.012306 69, 012306 (2004).
5. N. J. Cerf, J. Clavareau, C. Macchiavello, and J. Roland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042330 72, 042330 (2005).
6. V. Giovannetti, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/50/008 38, 10989 (2005).
7. V. Giovannetti and S. Mancini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.062304 71, 062304 (2005).
8. D. Kretschmann and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.062323 72, 062323 (2005).
9. G. Ruggeri, G. Soliani, V. Giovannetti, and S. Mancini, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10041-3 70, 719 (2005).
10. D. Daems, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.012310 76, 012310 (2007).
11. A. S. Holevo, e-print arXiv:quant-ph/0212025.
12. A. S. Holevo, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.651037 44, 269 (1998).
13. E. Karpov, D. Daems, and N. J. Cerf, Open Syst. Inf. Dyn. OSIDFU 1230-1612 10.1007/s11080-006-9018-y 13, 363 (2006)
14. E. Karpov, D. Daems, and N. J. Cerf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.032320 74, 032320 (2006).
15. C. King and M. B. Ruskai, IEEE Trans. Inf. Theory 47, 1 (2001). 0018-9448
16. P. Shor, (private communication). The additivity of minimal entropy was initially conjectured by P. Shor and circulated for some time. The first reference in print seems to have been in.
17. G. G. Amosov, A. S. Holevo, and R. F. Werner, Probl. Inf. Transm. 36, 305 (2001). 0032-9460
18. P. W. Shor, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-003-0981- 7 246, 453 (2004).
19. Hayden, e-print arXiv:0707.3291
20. A. Winter, e-print arXiv:0707.0402.
21. R. Alicki and M. Fannes, Open Syst. Inf. Dyn. OSIDFU 1230-1612 10.1007/s11080-004-6624-4 11, 339 (2004).
22. M. Fukuda, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/45/L02 38, L753 (2005).
23. C. King, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1500791 43, 4641 (2002).
24. C. King, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.2002.806153 49, 221 (2003).
25. C. King and M. B. Ruskai, in Quantum Information, Statistics and Probability, edited by, O. Hirota, (World Scientific, Singapore, 2004), p. 102.
26. S. Michalakis, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.2818737 48, 122102 (2007).
27. A. Rényi, "On measures of entropy and information," Proceedings of the 4th Berkeley Symposium on Mathematical Statististics and Probability (University of California Press, Berkeley, CA, 1961), Vol. I, pp. 547-561.
28. S. Daftuar, thesis, Caltech, 2004.
29. S. Daftuar and M. Klimesh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.042314 64, 042314 (2001).
30. D. Jonathan and M. B. Plenio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3566 83, 3566 (1999).
31. G. Aubrun and I. Nechita, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-007-0382-4 278, 133 (2008).
32. G. Aubrun and I. Nechita, e-print arXiv:0707.0211.
33. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis (Cambridge University Press, Cambridge, 1991).
34. Ky Fan, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.37.11.760 37, 760 (1951).
35. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.3824 54, 3824 (1996).