‎In our paper [A‎. ‎B‎. ‎M‎. ‎Basheer and J‎. ‎Moori‎, ‎On a group of the form $2^{10}{:}(U_{5}(2){:}2)$] we calculated the inertia factors‎, ‎Fischer matrices and the ordinary character table of the split‎ ‎extension $ 2^{10}{:}(U_{5}(2){:}2)$ by means of Clifford-Fischer‎ ‎Theory‎. ‎The second inertia factor group of $2^{10}{:}(U_{5}(2){:}2)$‎ ‎is a group of the form $2_{-}^{1+6}{:}((3^{1+2}{...

Mars Radar Sounding Strategy Team, listed alphabetically: David W. Beaty (Mars Program Office), [email protected] Angioletta Coradini (ASI), [email protected] Steve Clifford (LPI), [email protected] John Grant (Smithsonian Institution), [email protected] Prasad Gogineni (University of Kansas), [email protected] Jeff Plaut (JPL), [email protected] Keith Raney (APL), keith....

In this paper, we construct stable bundles E of rank 2 on suitably chosen curves of any genus g ≥ 12 with maximal Clifford index such that the Clifford index of E takes the minimum possible value for curves with this property.

The theorems of Riemann, Clifford and Martens are proved for every line bundle parametrized by the compactified Jacobian of every binary curve. The Clifford index is used to characterize hyperelliptic and trigonal binary curves. The Brill-Noether theorem for r ≤ 2 is proved for a general binary curve.

The need to consider fault tolerance in quantum circuits has led to recent work on the optimization of circuits composed of Clifford+T gates. The primary optimization objectives are to minimize the T -count (number of T gates) and the T -depth (the number of groupings of parallel T gates). These objectives arise due to the high cost of the fault tolerant implementation of the T gate compared to...

We generalize an efficient exact synthesis algorithm for single-qubit unitaries over the Clifford+T gate set which was presented by Kliuchnikov, Maslov and Mosca. Their algorithm takes as input an exactly synthesizable single-qubit unitary–one which can be expressed without error as a product of Clifford and T gates–and outputs a sequence of gates which implements it. The algorithm is optimal i...

(In: Rosenblith, W.A. (Ed.), Sensory Communication, Wiley, New York, pp. 303–317). Based on simple behavioural experiments, Reichardt proposed an elegant computational account of motion processing by the visual system of the Chlorophanus beetle. His proposal has been simplified, elaborated and reinvented on at least one occasion but remains the most influential model of visual motion processing...