next up previous
Next: About this document ... Up: research1 Previous: research1

Bibliography

1
Walters, P., "An Introduction to Ergodic Theory", Graduate Texts in Mathematics, Vol. 79, Springer 1982;

2
Billingsley, P., "Ergodic Theory and Information", Wiley and Sons 1965;

3
Mane, R., "Ergodic Theory and Differentiable Dynamics", Springer, Berlin 1987;

4
Brudno, A.A., "Entropy and the Complexity of the Trajectories of a Dynamical System", Trans. Moscow Math. Soc. (1983) 127;

5
Alekseev, V.M. and Yakobson, M.V., "Symbolic Dynamics and Hyperbolic Dynamic Systems", Phys. Rep. 75 (1981) 287;

6
Casati, G. and Chirikov, B., "Quantum Chaos. Between Order and Disorder", Cambridge, University Press 1995;

7
Nielsen, M.A. and Chuang, I.L., "Quantum Computation and Quantum Information", Cambridge, University Press 2000;

8
Connes, A., Narnhofer, H. and Thirring, W., "Dynamical Entropy of C* Algebras and von Neumann Algebras", Commun. Math. Phys. 112 (1987) 691;

9
Alicki, R. and Fannes, M., "Defining Quantum Dynamical Entropy", Lett. Math. Phys. 32 (1994) 75;

10
Voiculescu, D., "Dynamical Approximation Entropies and Topological Entropy in Operator Algebras", Commun. Math. Phys. 170 (1995) 249;

11
Accardi, L., Ohya, M. and Watanabe, N., "Dynamical Entropy Through Quantum Markov Chains", Open Sys. & Information Dyn. 4 (1997) 71;

12
Benatti, F., "Deterministic Chaos in Infinite Quantum Systems", Trieste Notes in Physics, Springer Verlag 1993;

13
Alicki, R. and Narnhofer, H., "Comparison of Dynamical Entropies of Non-commutative Shifts", Lett. Math. Phys. 33 (1995) 241;

14
Park, Y.M., "Dynamical Entropy of Generalized Quantum Markov Chains", Lett. Math. Phys. 32 (1994) 63;

15
Benatti, F., "Quantum Estimation and the Entropy of a Subalgebra", J. Math. Phys. 37 (1996) 5244;

16
F. Benatti, H. Narnhofer, A. Uhlmann, Decompositions of Quantum States with Respect to Entropy, Rep. Math. Phys. 38 (1996) 123

17
F. Benatti, H. Narnhofer, A. Uhlmann, Optimal Decompositions with respect to Entropy and Symmetries, Lett. Math. Phys. 47 (1999) 237

18
Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A. and Wootters, W.K., "Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels", Phys.Rev.Lett. 76 (1996) 722;

19
Gorini, V., Kossakowski, A. and Sudarshan, E.C.G., "Completely Positive Dynamical Semigroups of N-Level Systems", J. Math. Phys. 17 (1976) 821;

20
Horodecki, M., Horodecki, P. and Horodecki, R., "Separability of Mixed States: Necessary and Sufficient Conditions", Phys. Lett. A223 (1996) 1;

21
Kraus, K., "States, Effects, and Operations", Lec. Notes in Phys. 190, Springer 1983;

22
Spohn, H., "Kinetic Equations from Hamiltonian Dynamics: Markovian Limits", Rev. Mod. Phys. 53 (1980) 569;

23
Alicki, R. and Lendi, K., "Quantum dynamical Semigroups and Applications", Lec. Notes in Phys. 286, Springer 1987;

24
Dumcke, R. and Spohn, H., "The Proper Form of the Generator in the Weak Coupling Limit", Z. Physik B34 (1979) 419;

25
Lindblad, G., "On the Generators of Quantum Dynamical Semigroups", Commun. Math. Phys. 48 (1976) 119;

26
Pechukas, P., "Reduced Dynamics Need Not Be Completely Positive", Phys. Rev. Lett. 73 (1994) 1060;

27
F. Benatti, R. Floreanini, Completely Positive Dynamical Maps and the Neutral Kaon System, Nuc. Phys. B488 (1997) 335

28
Benatti, F. and Floreanini, R., "Completely Positive Dynamics of Correlated Neutral Kaons", Nucl. Phys. B511 (1998) 550;

29
Benatti, F. and Floreanini, R., "Complete Positivity and Correlated Neutral Kaons", Phys. Lett. B468 (1999) 287;

30
Schumacher, B., "Quantum Coding", Phys. Rev. A 51 (1995) 2738;

31
Petz, D. and Mosonyi, M., "Stationary Quantum Source Coding", quant-ph/9912103;

32
Benatti, F. and Narnhofer, H., "Additivity of the Entanglement of Formation", Phys. Rev. A63 (2001) 042306;

33
Terhal, B.M. and Vollbrecht, K.G., "Entanglement of Formation for Isotropic States", Phys. Rev. Lett. 85 (2000) 2625;

34
Ford, J., Mantica, G. and Ristow, G.H., "The Arnol'd Cat: Failure of the Correspondence Principle", Physica D50 (1991) 493;

35
Crisanti, A., Falcioni, M., Mantica, G. and Vulpiani, A., "Applying Algorithmic Complexity to Define Chaos in the Motion of Complex Systems", Phys. Rev. E50 (1994) 1959;

36
Alicki, R., Andries, J., Fannes, M. and Tuyl, P., "An Algebraic Approach to the Kolmogorov-Sinai Entropy'', Rev. Math. Phys. 8 (1995) 167;

37
F. Benatti, R. Floreanini, R. Romano, Complete Positivity and Entangled Degrees of Freedom, J. Phys. A: Math. Gen. 35 (2002) 4955

38
F. Benatti, R. Floreanini, R. Romano, Complete positivity and dissipative factorized dynamics, J. Phys. A: Math. Gen. 35 (2002) L551

39
Suarez, A., Silbey, R. and Oppenheim, I., "Memory Effects in the Relaxation of Quantum Open Systems", J. Chem. Phys. 97 (1992) 5101;



Fabio Benatti 2002-10-30