Channel kets, entangled states, and the location of quantum information

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 4, 2005, Pages

  Griffiths, Robert B ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL-QUANTUM CHANNELS; ENTANGLEMENT; HILBERT SPACES; STATISTICAL CORRELATIONS;

COMMUNICATION CHANNELS (INFORMATION THEORY); CORRELATION METHODS; QUANTUM THEORY; SPURIOUS SIGNAL NOISE; STATISTICAL METHODS; THEOREM PROVING;

INFORMATION THEORY;

EID: 26944472848     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.042337     Document Type: Article

References (48)

1. M. Keyl, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00266-1 369, 431 (2002).
2. F. Verstraete and H. Verschelde, e-print quant-ph/0202124.
3. K. Życzkowski and I. Bengtsson, Open Syst. Inf. Dyn. OSIDFU 1230-1612 3, 42 (2004).
4. P. Arrighi and C. Patricot, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2003.11.005 311, 26 (2004).
5. J. I. Cirac, W. Dür, B. Kraus, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.544 86, 544 (2001).
6. M. Reimpell and R. F. Werner, e-print quant-ph/0307138.
7. M. Horodecki, P. W. Shor, and M. B. Ruskai, Rev. Math. Phys. RMPHEX 0129-055X 10.1142/S0129055X03001709 15, 629 (2003).
8. M. B. Ruskai, Rev. Math. Phys. RMPHEX 0129-055X 10.1142/S0129055X03001710 15, 643 (2003).
9. M. Hamada, Int. J. Quantum Inf. 0219-7499 10.1021/nl0100421 1, 443 (2003).
10. W. Dür, J. I. Cirac, and P. Horodecki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.020503 93, 020503 (2004).
11. A. Jamiołkowski, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(72)90011-0 3, 275 (1972).
12. M.-D. Choi, Linear Algebr. Appl. LAAPAW 0024-3795 10.1016/0024-3795(75) 90075-0 10, 285 (1975).
13. Č.. Brukner and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3354 83, 3354 (1999).
14. Č. Brukner and A. Zeilinger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.022113 63, 022113 (2001).
15. D. Deutsch and P. Hayden, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 456, 1759 (2000).
16. R. B. Griffiths, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.012311 66, 012311 (2002).
17. C. G. Timpson, Stud. Hist. Philos. Mod. Phys. 1355-2198 10.1016/S0169-5002(01)00279-3 34, 441 (2003).
18. A. Duwell, Stud. Hist. Philos. Mod. Phys. 1355-2198 34, 479 (2003).
19. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
20. A. J. Scott, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.033605 69, 052330 (2004).
21. W. Feller, An Introduction to Probability Theory and its Applications, 3rd ed. (Wiley, New York, 1968), Vol. 1.
22. S. M. Ross, Introduction to Probability Models, 7th ed. (Academic Press, San Diego, 2000).
23. M. H. DeGroot and M. J. Schervish, Probability and Statistics, 3rd ed. (Addison-Wesley, Boston, 2002).
24. R. B. Griffiths, Consistent Quantum Theory (Cambridge University Press, Cambridge, UK, 2002).
25. P. Mittelstaedt, The Interpretation of Quantum Mechanics and the Measurement Process (Cambridge University Press, Cambridge, UK, 1998).
26. W. M. de Muynck, Foundations of Quantum Mechanics, an Empiricist Approach (Kluwer Academic, Dordrecht, 2002).
27. B. M. Terhal, I. L. Chuang, D. P. DiVincenzo, M. Grassl, and J. A. Smolin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.881 60, 881 (1999).
28. C. Zalka and E. Rieffel, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1499763 43, 4376 (2002).
29. A. S. Holevo, Russ. Math. Surveys RMSUAF 0036-0279 10.1070/ rm1998v053n06ABEH000091 53, 1295 (1999).
30. P. W. Shor, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1498000 43, 4334 (2002).
31. M. Lewenstein, D. Bruß, J. I. Cirac, B. Kraus, M. Kuś, J. Samsonowicz, A. Sanpera, and R. Tarrach, J. Mod. Opt. JMOPEW 0950-0340 10.1080/095003400750039735 47, 2841 (2000).
32. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(01)00142-6 283, 1 (2001).
33. A. W. Steane, in Introduction to Quantum Computation and Information, edited by, H.-K. Lo, S. Popescu, and, T. Spiller, (World Scientific, Singapore, 1998), pp. 184-212.
34. 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).
35. E. Knill and R. Laflamme, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.900 55, 900 (1997).
36. R. Laflamme, C. Miquel, J. P. Paz, and W. H. Zurek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.198 77, 198 (1996).
37. M. Grassl, T. Beth, and T. Pellizzari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.33 56, 33 (1997).
38. E. M. Rains, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.782103 45, 1827 (1999).
39. M. J. Donald, M. Horodecki, and O. Rudolph, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1495917 43, 4252 (2002).
40. D. Kretschmann and R. F. Werner, New J. Phys. NJOPFM 1367-2630 6, 26 (2004).
41. C.-S. Niu and R. B. Griffiths, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.2764 60, 2764 (1999).
42. W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.062314 62, 062314 (2000).
43. M. B. Ruskai, S. Szarek, and E. Werner, Linear Algebr. Appl. LAAPAW 0024-3795 10.1016/S0024-3795(01)00547-X 347, 159 (2002).
44. B. Kraus and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.062309 63, 062309 (2001).
45. B. M. Terhal, M. Horodecki, D. W. Leung, and D. P. DiVincenzo, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1498001 43, 4286 (2002).
46. M. J. W. Hall, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74. 3307 74, 3307 (1995).
47. M. J. W. Hall, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.100 55, 100 (1997).
48. J. Preskill, www.theory.caltech.edu/people/preskill/ph229/ (1998).