For every prime number p > 5 it is shown that, under certain hypotheses on x e Q , the imaginary quadratic fields Q( \/x2p 6xf + 1 ) have ideal class groups with noncyclic p-parts. Several numerical examples with p = 5 and 7 are presented. These include the field Q(v/-4805446123032518648268510536). The 7-part of its class group is isomorphic to C(7) x C(7) x C(7), where C(n) denotes a cyclic gr...

High-fidelity quantum gates are essential for large-scale computation. However, any manipulation will inevitably affected by noises, systematic errors and decoherence effects, which lead to infidelity of a target task. Therefore, implementing high-fidelity, robust fast is highly desired. Here, we propose scheme construct high-fidelity holonomic universal computation based on resonant interactio...

A method aimed at poten charged ionophores in ion surements of segmented s of ion association requires ment of the sandwichmu ionophore complexationm evaluated. Association of Experimental results are with commonly used sites bis[4-(1,1,3,3-tetramethyl

The role of lipophilic anionic and cationic additives on the potentiometric anion selectivities of polymer membrane electrodes prepared with various metalloporphyrins as anion selective ionophores is examined. The presence of lipophilic anionic sites (e.g. tetraphenylborate derivatives) is shown to enhance the non-Hofmeister anion selectivities of membranes doped with In(III) and Sn(IV) porphyr...

We provide a physical prescription based on interferometry for introducing the total phase of a mixed state undergoing unitary evolution, which has been an elusive concept in the past. We define the parallel transport condition that provides a connection form for obtaining the geometric phase for mixed states. The expression for the geometric phase for mixed state reduces to well known formulas...

The uncoupler desaspidin is labile in the presence of oxidants at alkaline pH values. It also undergoes chlorophyll-sensitized photooxidation at a more acid pH. The products of the oxidation appear to have negligible activity in inhibiting electron transfer and photophosphorylation.Failure of desaspidin to uncouple in the presence of oxidants used as cofactors of noncyclic electron flow is pres...

In 1955, Hall and Paige conjectured that any finite group with a noncyclic Sylow 2-subgroup admits complete mappings. For the groups GL(2, q), SL(2, q), PSL(2, q), and PGL(2, q) this conjecture has been proved except for SL(2, q), q ≡ 3 modulo 4. We prove the conjecture true for SL(2, q), q ≡ 3 modulo 4. © 2004 Elsevier Inc. All rights reserved.