Information capacity of a quantum observable

Problems of Information Transmission

Volumn 48, Issue 1, 2012, Pages 1-10

  Holevo, A S ^a  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ACCESSIBLE INFORMATION; MEASUREMENT CHANNELS; QUANTUM-CLASSICAL; SOLVABLE CASE;

INFORMATION THEORY;

COMPUTER NETWORKS;

EID: 84859825907     PISSN: 00329460     EISSN: 16083253     Source Type: Journal    
DOI: 10.1134/S0032946012010012     Document Type: Article

References (18)

1. Holevo, A.S., Veroyatnostnye i statisticheskie aspekty kvantovoi teorii, Moscow: Space Research Inst. (IKI), 2003, 2nd ed. First edition translated under the title Probabilistic and Statistical Aspects of Quantum Theory, Amsterdam: North-Holland, 1982.
2. Davies, E.B., Quantum Theory of Open Systems, London: Academic, 1976.
3. M. Ozawa 1984 Quantum Measuring Processes of Continuous Observables J. Math. Phys. 25 1 79 87 728889 10.1063/1.526000
4. Holevo, A.S., Statistical Structure of Quantum Theory, Berlin: Springer, 2001. Translated under the title Statisticheskaya struktura kvantovoi teorii, Moscow: Space Research Inst. (IKI), 2003.
5. A. Barchielli G. Lupieri 2006 Instruments and Mutual Entropies in Quantum Information Banach Center Publ. 73 65 80 2423117 10.4064/bc73-0-4
6. M. Dall'Arno G.M. D'Ariano M.F. Sacchi 2011 Informational Power of Quantum Measurements Phys. Rev. A 83 6 062304 (electronic)
7. O. Oreshkov J. Calsamiglia R. Muñoz-Tapia E. Bagan 2011 Optimal Signal States for Quantum Detectors New J. Phys. 13 7 073032 10.1088/1367-2630/13/7/073032
8. M.J.W. Hall 1997 Quantum Information and Correlation Bounds Phys. Rev. A 55 1 100 113 10.1103/PhysRevA.55.100 (Pubitemid 127604818)
9. C.H. Bennett P.W. Shor J.A. Smolin A.V. Thapliyal 1999 Entanglement-Assisted Classical Capacity of Noisy Quantum Channel Phys. Rev. Lett. 83 15 3081 3084 10.1103/PhysRevLett.83.3081 (Pubitemid 129689936)
10. M.E. Shirokov 2011 Entropy Reduction of Quantum Measurements J. Math. Phys. 52 5 052202 (electronic) 2839068 10.1063/1.3589831
11. 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]
12. 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 1930333 10.1109/TIT.2002. 802612 (Pubitemid 35170324)
13. A.S. Holevo 2005 Additivity Conjecture and Covariant Channels Int. J. Quantum Inform. 3 1 41 47 715759 10.1142/S0219749905000530 (Pubitemid 44103151)
14. R. Jozsa D. Robb W.K. Wootters 1994 Lower Bound for Accessible Information in Quantum Mechanics Phys. Rev. A 49 2 668 677 1263425 10.1103/PhysRevA.49.668
15. A.S. Holevo 2003 Classical Capacities of a Quantum Channel with a Restriction at the Input Teor. Veroyatnost. i Primenen. 48 2 359 374 [Theory Probab. Appl. (Engl. Transl.), 2004, vol. 48, no. 2, pp. 243-255]
16. E.H. Lieb 1978 Proof of an Entropy Conjecture of Wehrl Commun. Math. Phys. 62 1 35 41 506364 10.1007/BF01940328
17. A.S. Holevo 1973 Bounds for the Quantity of Information Transmitted by a Quantum Communication Channel Probl. Peredachi Inf. 9 3 3 11 456936 [Probl. Inf. Trans. (Engl. Transl.), 1973, vol. 9, no. 3, pp. 177-183]
18. A.S. Holevo 2008 Entanglement-Breaking Channels in Infinite Dimensions Probl. Peredachi Inf. 44 3 3 18 456936 [Probl. Inf. Trans. (Engl. Transl.), 2008, vol. 44, no. 3, pp. 171-184]