By A Tonomura, T Nakamura, I Ojima

ISBN-10: 9812384456

ISBN-13: 9789812384454

ISBN-10: 9812795103

ISBN-13: 9789812795106

This ebook is a set of studies and essays concerning the contemporary wide-ranging advancements within the parts of quantum physics. The articles have typically been written on the graduate point, yet a few are obtainable to complex undergraduates. they are going to function solid introductions for starting graduate scholars in quantum physics who're trying to find instructions. features of mathematical physics, quantum box theories and statistical physics are emphasised.

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Illuminati, and S. De Siena, Phys. Rev. A 68, 062318 (2003). 21. A. K. Ekert, C. M. Alves, D. K. L. Oi, M. Horodecki, P. Horodecki, and L. C. Kwek, Phys. Rev. Lett. 88, 217901 (2002); R. Filip, Phys. Rev. A 65, 062320 (2002). 22. J. Fiur´ a˘sek and N. J. Cerf, Phys. Rev. Lett. 93, 063601 (2004); J. Wenger, J. Fiur´ a˘sek, R. Tualle-Brouri, N. J. Cerf, and P. Grangier, Phys. Rev. A 70, 053812 (2004). 23. P. van Loock, Fortschr. Phys. 50, 12 1177 (2002). 24. G. Adesso, A. Seraﬁni, and F. Illuminati, Phys.

This problem can be tamed by introducing an appropriate constraint. n 2 2 For our purposes, we may take the Hamiltonian H = i=1 (xi + pi )/2. Then, instead of taking all states into account, one may consider the subset K = {ρ : tr[ρH] < h}. (22) introducing for some h > 0 a constraint on the mean energyh or mean photon number N = h − 1/2. Similarly, for tensor products we consider K⊗n = {ρ : tr[ρH ⊗n ] < nh}. On this very natural subset K the vonNeumann entropy and the classical information capacity retain their continuity.

Horodecki, Phys. Lett. A 210, 377 (1996). 8. A. Seraﬁni, G. Adesso, and F. Illuminati, Phys. Rev. A 71, 032349 (2005). 9. A. Botero and B. Reznik, Phys. Rev. A 67, 052311 (2003); G. Giedke, J. Eisert, J. I. Cirac, and M. B. Plenio, Quant. Inf. Comp. 3, 211 (2003). 10. R. Simon, Phys. Rev. Lett. -M. Duan, G. Giedke, I. Cirac, and P. Zoller, ibid. 84, 2722 (2000). 11. R. F. Werner and M. M. Wolf, Phys. Rev. Lett. 86, 3658 (2001). 12. G. Giedke, B. Kraus, M. Lewenstein, and J. I. Cirac, Phys. Rev.

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