Han Bao The University of Tokyo, 113-0033 Tokyo, Japan [email protected] Tomoya Sakai The University of Tokyo, 277-8561 Chiba, Japan RIKEN Center for AIP, 103-0027 Tokyo, Japan [email protected] Masashi Sugiyama RIKEN Center for AIP, 103-0027 Tokyo, Japan The University of Tokyo, 277-8561 Chiba, Japan [email protected] Issei Sato The University of Tokyo, 277-8561 Chiba, Japa...

In this paper we revisit the isomorphism SU(2) ⊗ SU(2) ∼= SO(4) to apply to some subjects in Quantum Computation and Mathematical Physics. The unitary matrix Q by Makhlin giving the isomorphism as an adjoint action is studied and generalized from a different point of view. Some problems are also presented. In particular, the homogeneous manifold SU(2n)/SO(2n) which characterizes entanglements i...

We investigate the relationship of (jumps of) the degrees of splittings of a computably enumerable set and the degree of the set. We prove that there is a high computably enumerable set whose only proper splittings are low2. ∗Research partially supported by the U.S. ARO through ACSyAM at the Mathematical Sciences Institute of Cornell University Contract DAAL03-91-C-0027, the IGC of Victoria Uni...

In 1993 LEP performed a scan at three energy points around the Z 0 mass, with the primary aim of substantially improving the errors on M Z and ? z. The results of the preliminary lineshape analyses of the 4 LEP experiments are presented here, together with the combined LEP averages. The Z 0 mass and width are determined as M Z = 91:1899 0:0017 exp 0:004 lep Gev and ? z = 2:4971 0:0027 exp 0:002...

Introduction Sepsis induced muscle weakness (SIMW) is associated with an important morbidity of critical care patients. Moreover, respiratory muscles weakness delays weaning from mechanical ventilation. The down-regulation of Akt pathway and the activation of proteolytic pathways, such as ubiquitin-proteasome or autophagy-lysosome pathways, could play a key role in the pathogenesis of SIMW. How...