A single-qubit circuit can approximate any bounded complex function stored in the degrees of freedom defining its quantum gates. The approximant presented this work is operated through a series gates that take as their parameterization independent variable target and an additional set adjustable parameters. re-uploaded every gate while parameters are optimized for each function. output state be...

Production of emphatic consonants by a speaker of Lebanese Arabic was examined using real-time magnetic resonance imaging (rtMRI). Emphatic consonants were found to be articulated with a lowered, more retracted tongue body than their nonempatic counterparts, with the narrowest emphatic constriction observed in the upper pharynx. Both progressive and regressive emphasis spread was observed; spre...

The criterion of the best non-symmetric approximant for functions many variables in spaces with mixed integral metric is obtained.

The paper presents an uncertainty propagation method for problems with discontinuous surface responses. Based on Pade-Legendre (PL) approximants in multiple dimensions, the proposed method is global and non-intrusive. In this work, the PL method is applied to a model problem of supersonic flows with multiple possible flow configurations, depending on the uncertain input parameters. The results ...

The computation of , the action a matrix function on vector, is task arising in many areas scientific computing. In applications, sparse but so large that only rather small number Krylov basis vectors can be stored. Here we discuss new approach to overcome this limitation by randomized sketching combined with an integral representation . Two different approximation methods are introduced, one b...

We present a prediction for the four loop β-function for SQCD based on the method