Mutual and coherent information for infinite-dimensional quantum channels

Problems of Information Transmission

Volumn 46, Issue 3, 2010, Pages 201-218

  Holevo, A S ^a   Shirokov, M E ^a  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

MUTUAL INFORMATIONS; QUANTUM CHANNEL; QUANTUM COMMUNICATION CHANNELS; UPPER BOUND;

EID: 77958104173     PISSN: 00329460     EISSN: 16083253     Source Type: Journal    
DOI: 10.1134/S0032946010030014     Document Type: Article

References (16)

1. Nielsen, M.A., and Chuang, I.L., Quantum Computation and Quantum Information, Cambridge: Cambridge Univ. Press, 2000. Translated under the title Kvantovye vychisleniya i kvantovaya informatsiya, Moscow: Mir, 2006.
2. Holevo, A.S., Kvantovye sistemy, kanaly, informatsiya (Quantum Systems, Channels, and Information), Moscow: MCCME, 2010.
3. A. Wehrl 1978 General Properties of Entropy Rev. Modern Phys. 50 2 221 260 10.1103/RevModPhys.50.221 496300
4. G. Lindblad 1974 Expectations and Entropy Inequalities for Finite Quantum Systems Comm. Math. Phys. 39 2 111 119 0294.46052 10.1007/BF01608390 363351
5. Ohya, M. and Petz, D., Quantum Entropy and Its Use, Berlin: Springer, 2004, 2nd ed.
6. A.S. Holevo M.E. Shirokov 2005 Continuous Ensembles and the Capacity of Infinite-Dimensional Quantum Channels Teor. Veroyatnost. i Primenen. 50 1 98 114 [Theory Probab. Appl. (Engl. Transl.), 2006, vol. 50, no. 1, pp. 86-98]
7. M.E. Shirokov A.S. Holevo 2008 On Approximation of Infinite-Dimensional Quantum Channels Probl. Peredachi Inf. 44 2 3 22 [Probl. Inf. Trans. (Engl. Transl.), 2008, vol. 44, no. 2, pp. 73-90]
8. C. Adami N.J. Cerf 1997 Von Neumann Capacity of Noisy Quantum Channels Phys. Rev. A 56 5 3470 3483 10.1103/PhysRevA.56.3470 1450575
9. C.H. Bennett P.W. Shor J.A. Smolin A.V. Thapliyal 2002 Entanglement-Assisted Capacity of a Quantum Channel and the Reverse Shannon Theorem IEEE Trans. Inform. Theory 48 10 2637 2655 1062.94011 10.1109/TIT.2002.802612 1930333 (Pubitemid 35170324)
10. H. Barnum M.A. Nielsen B.W. Schumacher 1998 Information Transmission through a Noisy Quantum Channel Phys. Rev. A 57 6 4153 4175 10.1103/PhysRevA.57. 4153
11. I. Devetak 2005 The Private Classical Capacity and Quantum Capacity of a Quantum Channel IEEE Trans. Inform. Theory 51 1 44 55 10.1109/TIT.2004.839515 2234571 (Pubitemid 40145986)
12. Davies, E.B., Quantum Theory of Open Systems, London: Academic, 1976.
13. A.S. Holevo 2006 Complementary Channels and the Additivity Problem Teor. Veroyatnost. i Primenen. 51 1 133 143 1900977 [Theory Probab. Appl. (Engl. Transl.), 2007, vol. 51, no. 1, pp. 92-100]
14. M.E. Shirokov 2010 Continuity of the von Neumann Entropy Commun. Math. Phys. 296 3 625 654 05716918 10.1007/s00220-010-1007-x 2628818
15. B. Schumacher M.D. Westmoreland 1998 Quantum Privacy and Quantum Coherence Phys. Rev. Lett. 80 25 5695 5697 10.1103/PhysRevLett.80.5695
16. M. Ozawa 1986 On Information Gain by Quantum Measurements of Continuous Observables J. Math. Phys. 27 3 759 763 10.1063/1.527179 825161