ar X iv : q - b io . Q M / 0 31 10 37 v 1 2 7 N ov 2 00 3 Hierarchical Clustering Using Mutual Information

ar X iv : q ua nt - p h / 04 11 17 2 v 1 2 3 N ov 2 00 4 Information and Entropy in Quantum Theory

ar X iv : n uc l - th / 0 41 10 95 v 1 2 3 N ov 2 00 4 Θ + pentaquark in the nuclear medium

We study the interaction of the Θ + pentaquark with nuclear matter associated to the KN decay channels and to the two meson cloud. We find that the potential is attractive and could be strong enough to lead to the existence of Θ + nuclear bound states.

ar X iv : q ua nt - p h / 06 11 18 7 v 1 1 7 N ov 2 00 6 Philosophical Aspects of Quantum Information Theory

2 First steps with quantum information 3 2.1 Bits and qubits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 The no-cloning theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Quantum cryptography . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3.1 Key Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Entanglement-as...

ar X iv : m at h / 06 02 50 8 v 2 [ m at h . G R ] 1 9 N ov 2 00 7 PRESENTATIONS OF FINITE SIMPLE GROUPS : A QUANTITATIVE APPROACH

There is a constant C 0 such that all nonabelian finite simple groups of rank n over Fq, with the possible exception of the Ree groups 2 G 2 (3 2e+1), have presentations with at most C 0 generators and relations and total length at most C 0 (log n + log q). As a corollary, we deduce a conjecture of Holt: there is a constant C such that dim H 2 (G, M) ≤ C dim M for every finite simple group G, e...

ar X iv : m at h . Q A / 0 61 10 87 v 1 3 N ov 2 00 6 MODULAR FUNCTORS ARE DETERMINED BY THEIR GENUS ZERO DATA

We prove in this paper that the genus zero data of a modular functor determines the modular functor. We do this by establishing that the S-matrix in genus onewith one point labeled arbitrarily can be expressed in terms of the genus zero information and we give an explicit formula. We do not assume the modular functor in question has duality or is unitary, in order to establish this. CONTENTS