Information theory of quantum entanglement and measurement

Physica D: Nonlinear Phenomena

Volumn 120, Issue 1-2, 1998, Pages 62-81

  Cerf, Nicolas J ^a   Adami, Chris ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Entanglement; Quantum information theory; Quantum measurement; Quantum non locality

Indexed keywords

COMPUTATIONAL METHODS; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; INFORMATION THEORY; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBABILITY;

LEVITIN-KHOLEVO THEOREM; QUANTUM ENTANGLEMENT; QUANTUM INFORMATION THEORY; QUANTUM MEASUREMENT;

QUANTUM THEORY;

EID: 0032163367     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00045-1     Document Type: Article

References (44)

1. C. Adami, N.J. Cerf, von Neumann capacity of noisy quantum channels, Phys. Rev. A 56 (1997) 3470.
2. R.B. Ash, Information Theory, Dover, New York, 1965.
3. C.H. Bennett, Quantum information and computation, Phys. Today 48 (10) (1995) 24.
4. C.H. Bennett et al., Concentrating partial entanglement by local operations, Phys. Rev. A 53 (1996) 2046;
5. C.H. Bennett et al., Purification of noisy entanglement and faithful teleportation via noisy channels, Phys. Rev. Lett. 76 (1996) 722;
6. C.H. Bennett et al., Mixed state entanglement and quantum error correction, Phys. Rev. A 54 (1996) 3824.
7. C.H. Bennett, S.J. Wiesner, Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states, Phys. Rev. Lett. 69 (1992) 2881.
8. N.J. Cerf, C. Adami, Negative entropy and information in quantum mechanics, Phys. Rev. Lett. 79 (1997) 5194;
9. N.J. Cerf, C. Adami, Negative entropy in quantum information theory, in: M. Ferrero, A. van der Merwe (Eds.), New Developments on Fundamental Problems in Quantum Physics, Fundamental Theories of Physics, vol. 81, Kluwer Academic, Dordrecht, 1997, pp. 77-84.
10. N.J. Cerf, C. Adami, Quantum mechanics of measurement, e-print quant-ph/9605002.
11. N.J. Cerf, C. Adami, Entropic Bell inequalities, Phys. Rev. A 55 (1997) 3371.
12. N.J. Cerf, R. Cleve, Information-theoretic interpretation of quantum error-correcting codes, Phys. Rev. A 56 (1997) 1721.
13. N.J. Cerf, C. Adami, Accessible information in quantum measurement, e-print quant-ph/9611032.
14. D.P. DiVincenzo, Quantum Computation, Science 270 (1995) 255.
15. A. Ekert, R. Jozsa, Quantum computation and Shor's factoring algorithm, Rev. Mod. Phys. 68 (1996) 733.
16. C.A. Fuchs, C.M. Caves, Ensemble-dependent bounds for accessible information in quantum mechanics, Phys. Rev. Lett. 73 (1994) 3047.
17. D.M. Greenberger, M.A. Horne, A. Zeilinger, in: M. Kafatos (Ed.), Bell's Theorem, Quantum Theory, and Conceptions of the Universe, Kluwer, Dordrecht, 1989, p. 69;
18. N.D. Mermin, Am. J. Phys. 58 (1990) 731.
19. R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985.
20. R. Horodecki, M. Horodecki, Information-theoretic aspects of inseparability of mixed states, Phys. Rev. A 54 (1996) 1838.
21. R. Jozsa, D. Robb, W.K. Wootters, Lower bound for accessible information in quantum mechanics, Phys. Rev. A 49 (1994) 668.
22. A.S. Kholevo, Prob. Inform. Transmission 9 (1973) 110.
23. R. Landauer, Irreversibility and Heat Generation in the Computing Process, IBM J. Res. Dev. 3 (1961) 113;
24. C.H. Bennett, The thermodynamics of computation - A review, Int. J. Theor. Phys. 21 (1982) 305.
25. S. Lloyd, A potentially realizable quantum computer, Science 261 (1993) 1569;
26. Quantum-mechanical computers, Sci. Am. 273 (4) (1995) 140.
27. L.B. Levitin, in: Proceedings of the Fourth All-Union Conference on Information and Coding Theory, Moscow-Tashkent, Tashkent, 1969, pp. 111-115;
28. English translation in: Annales de la Fondation Louis de Broglie 21 (1996) 345.
29. A. Peres, Separability criterion for density matrices, Phys. Rev. Lett. 77 (1996) 1413.
30. B. Schumacher, in: W.E. Zurek (Ed.), Complexity, Entropy, and the Physics of Information, SFI Studies in the Science of Complexity, vol. VIII, Addison Wesley, 1990, p. 29.
31. B. Schumacher, Quantum coding, Phys. Rev. A 51 (1995) 2738;
32. R. Jozsa, B. Schumacher, A new proof of the quantum noiseless coding theorem, J. Mod. Opt. 41 (1994) 2343.
33. B. Schumacher, M. Westmoreland, W.K. Wootters, Limitation on the amount of accessible information in a quantum channel, Phys. Rev. Lett. 76 (1996) 3452.
34. C.E. Shannon, Bell Syst. Tech. J. 27 (1948), 379;
35. C.E. Shannon, Bell Syst. Tech. J. 27 (1948), 623;
36. C.E. Shannon, W. Weaver, The Mathematical Theory of Communication, University of Illinois Press, Urbana, 1949.
37. J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin, 1932.
38. A. Wehrl, General properties of entropy, Rev. Mod. Phys. 50 (1978) 221.
39. J.A. Wheeler, W.H. Zurek (Eds.), Quantum Theory and Measurement, Princeton University Press, Princeton, 1983.
40. W.K. Wootters, W.H. Zurek, A single quantum cannot be cloned, Nature 299 (1982) 802;
41. D. Dieks, Communication by EPR devices, Phys. Lett. 92 A (1982) 271.
42. H.P. Yuen, M. Ozawa, Ultimate information carrying limit of quantum systems, Phys. Rev. Lett. 70 (1993) 363.
43. W. H. Zurek (Ed.), Complexity, Entropy and the Physics of Information, Santa Fe Institute Studies in the Sciences of Complexity vol. VIII, Addison-Wesley, Reading, MA, 1990.
44. W. H. Zurek, Decoherence and the transition from quantum to classical, Phys. Today 44 (10) (1991) 36.