2 7 A ug 2 00 8 Superpositions of Probability Distributions

ar X iv : 0 80 2 . 06 95 v 1 [ co nd - m at . o th er ] 5 F eb 2 00 8 Superpositions of Probability Distributions

Probability distributions which can be obtained from superpositions of Gaussian distributions of different variances v = σ play a favored role in quantum theory and financial markets. Such superpositions need not necessarily obey the Chapman-Kolmogorov semigroup relation for Markovian processes because they may introduce memory effects. We derive the general form of the smearing distributions i...

ar X iv : 0 80 8 . 36 90 v 1 [ qu an t - ph ] 2 7 A ug 2 00 8 Entanglement dynamics of two - qubit system in different types of noisy channels ∗

X iv :0 80 8. 36 90 v1 [ qu an tph ] 2 7 A ug 2 00 8 Entanglement dynamics of two-qubit system in different types of noisy channels ∗ C. J. Shan, J. B. Liu, W. W. Cheng, T. K. Liu, Y. X. Huang, and H. Li College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China (Dated: August 27, 2008) Abstract In this paper, we study entanglement dynamics of a two-qubit extende...

7 A ug 2 00 8 Local analytic classification of q - difference

2 Analytic factorization of q-difference operators 7 2.1 The Newton polygon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 Admissible q-difference operators . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.3 Analytic factorization of admissible q-difference operators . . . . . . . . . . . 9 2.4 A digression on formal factorization of q-difference operators . . . . . ...

ar X iv : 0 80 8 . 10 23 v 1 [ qu an t - ph ] 7 A ug 2 00 8 CATEGORICAL QUANTUM MECHANICS

A ug 2 00 5 RAINBOW HAMILTON CYCLES IN RANDOM REGULAR GRAPHS SVANTE JANSON

A rainbow subgraph of an edge-coloured graph has all edges of distinct colours. A random d-regular graph with d even, and having edges coloured randomly with d/2 of each of n colours, has a rainbow Hamilton cycle with probability tending to 1 as n → ∞, provided d ≥ 8.