Decoherent information of quantum operations

Recent Development In Stochastic Dynamics And Stochastic Analysis

Volumn , Issue , 2010, Pages 23-42

  Cao, Xuelian ^a   Li, Nan ^b   Luo, Shunlong ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84886518122     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (32)

1. C. Adami and N. J. Cerf, von Neumann capacity of noisy quantum channels, Phys. Rev. A 56, 3470 (1997).
2. H. Barnum, C. M. Caves, C. A. Fuchs, R. Jozsa, and B. Schumacher, Noncommuting mixed states cannot be broadcast, Phys. Rev. Lett. 76, 2818 (1996).
3. H. Barnum, M. A. Nielsen, and B. Schumacher, Information transmission through a noisy quantum channel, Phys. Rev. A 57, 4153 (1998).
4. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Concentrating partial entanglement by local operations, Phys. Rev. A 53, 2046 (1996).
5. C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal, Entanglement-assisted classical capacity of noisy quantum channels, Phys. Rev. Lett. 83, 3081 (1999); Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem, IEEE Trans. Inform. Theory 48, 2637 (2002).
6. F. Buscemi, G. Chiribella, and G. M. D'Ariano, Inverting quantum decoherence by classical feedback from the environment, Phys. Rev. Lett. 95, 090501 (2005).
7. I. Devetak and P. W. Shor, The capacity of a quantum channel for simultaneous transmission of classical and quantum information, Commun. Math. Phys. 256, 287 (2005).
8. I. Devetak, The private classical capacity and quantum capacity of a quantum channel, IEEE Trans. Inform. Theory 51, 44 (2005).
9. D. Dieks, Communication by EPR devices, Phys. Lett. A 92, 271 (1982).
10. B. Groisman, S. Popescu, and A. Winter, Quantum, classical, and total amount of correlations in a quantum state, Phys. Rev. A 72, 032317 (2005).
11. P. Hayden, R. Jozsa, D. Petz, and A. Winter, Structure of states which satisfy strong subadditivity of quantum entropy with equality, Commun. Math. Phys. 246, 359 (2004).
12. A. S. Holevo, On entanglement-assisted classical capacity, J. Math. Phys. 43, 4326 (2002).
13. B. Ibinson and A. Winter, All inequalities for the relative entropy, Commun. Math. Phys. 269, 223 (2007).
14. A. Kalev and I. Hen, No-broadcasting theorem and its classical counterpart, Phys. Rev. Lett. 100, 210502 (2008).
15. D. Kretschmann, D. Schlingermann, and R. F. Werner, The information-disturbance tradeoff and the continuity of Stinespring's representation, IEEE Trans. Inform. Theory 54, 1708 (2008).
16. N. Li and S. Luo, Total versus quantum correlations in quantum states, Phys. Rev. A 76, 032327 (2007).
17. S. Lloyd, Capacity of the noisy quantum channel, Phys. Rev. A 55, 1613 (1997).
18. S. Luo, Quantum versus classical uncertainty, Theore. Math. Phys. 143, 681 (2005).
19. S. Luo and Q. Zhang, Informational distance on quantum-state space, Phys. Rev. A 69, 032106 (2004).
20. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
21. V. I. Paulsen, Completely Bounded Maps and Operator Algebras (Cambridge University Press, Cambridge, 2002).
22. A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993).
23. D. Petz, Monotonicity of quantum relative entropy revisited, Rev. Math. Phys. 15, 79 (2003).
24. S. Popescu and D. Rohrlich, Thermodynamics and the measure of entanglement, Phys. Rev. A 56, R3319 (1997).
25. V. Scarani, S. Iblisdir, and N. Gisin, Quantum cloning, Rev. Mod. Phys. 77, 1225 (2005).
26. B. Schumacher, Sending entanglement through noisy quantum channels, Phys. Rev. A 54, 2614 (1996).
27. B. Schumacher and M. A. Nielsen, Quantum data processing and error correction, Phys. Rev. A 54, 2629 (1996).
28. B. Schumacher and M. D. Westmoreland, Quantum privacy and quantum coherence, Phys. Rev. Lett. 80, 5695 (1998).
29. B. Schumacher and M. D. Westmoreland, Quantum mutual information and the onetime pad, Phys. Rev. A 74, 042305 (2006).
30. V. Vedral, The role of relative entropy in quantum information theory, Rev. Mod. Phys. 74, 197 (2002).
31. W. K. Wootters and W. H. Zurek, A single quantum cannot be cloned, Nature 299, 802 (1982).
32. Z. Zhang, Uniform estimates on the Tsallis entropies, Lett. Math. Phys. 80, 171-181 (2007).