We characterize highly coherent transmon qubits fabricated with a direct-write photolithography system. Multi-layer evaporation and oxidation allows us to change the critical current density by reducing effective tunneling area increasing barrier thickness. Surface treatments before resist application again result in high coherence devices. With optimized surface we achieve energy relaxation $T...

Abstract We present new, faster pseudopolynomial time algorithms for the k - Subset Sum problem, defined as follows: given a set Z of n positive integers and targets $$t_1, \ldots , t_k$$ t 1 , … k </mml:math...

There has been considerable recent progress in identifying candidate materials for the transverse-field Ising chain (TFIC), a paradigmatic model quantum criticality. Here, we study local spin dynamical structure factor of different components disordered region TFIC. We show that low-frequency dynamics spins Ising- and directions have strikingly distinctive temperature dependencies. This leads t...

We establish an asymptotic formula for the number of lattice points in sets $$\begin{aligned} {\textbf{S}}_{h_1, h_2, h_3}(\lambda ): =\left\{ x\in {\mathbb {Z}}_+^3:\lfloor h_1(x_1)\rfloor +\lfloor h_2(x_2)\rfloor h_3(x_3)\rfloor =\lambda \right\} \quad \text {with}\quad \lambda \in {Z}}_+; \end{aligned}$$ where functions $$h_1, h_3$$ are constant multiples regularly varying form $$h(x):=x^c\e...

We introduce a two-temperature Ising model as prototype of superstatistic critical phenomena. The is described by two temperatures ($T_1,T_2$) in zero magnetic field. To predict the phase diagram and numerically estimate exponents, we develop Metropolis Swendsen-Wang Monte Carlo method. observe that there non-trivial line, separating ordered disordered phases. propose an analytic equation for l...

Abstract Let X be a compact Kähler manifold. $$T_1, \ldots , T_m$$ T 1 , … m closed positive currents of bi-degree (1, 1) on and T an arbitrary current . We introduce the non-pluripolar product re...

In this paper we describe the equations defining multi-Rees algebra $k[x_1,\dots,x_n][I_1^{a_1}t_1,\dots,I_r^{a_r}t_r]$, where ideals are generated by subsets of $x_1,\dots,x_n$. We also show that a family binomials whose leading terms squrefree, form Gr\"{o}bner basis for with lexicographic order. if remove include $x$'s, then remaining toric ideal associated to multi-fiber ring. However binom...

We study the structure of a $3-$Leibniz algebra $T$ graded by an arbitrary abelian group $G,$ which is considered dimension and over base field $\bbbf.$ show that form $T=\uu\oplus\sum_jI_j,$ with $\uu$ linear subspace $T_1,$ homogeneous component associated to unit element $1$ in any $I_j$ well described ideal $T,$ satisfying $$ [I_j, T, I_k] = I_k, T] [T, I_j, 0, if $j\neq k.$ In case being m...

A polymorph of RuI$_3$ synthesized under high pressure was found to have a two-layered honeycomb structure. The resistivity exhibits semimetallic behavior, in contrast insulating properties $\alpha$-RuCl$_3$. In addition, Pauli paramagnetic behavior observed the temperature dependence magnetic susceptibility and nuclear spin-lattice relaxation rate 1/$T_1$. band structure calculations indicate ...

Learning how to estimate a connectional brain template (CBT) from population of multigraphs, where each graph (e.g., functional) quantifies particular relationship between pairs regions interest (ROIs), allows pin down the unique connectivity patterns shared across individuals. Specifically, CBT is viewed as an integral representation set highly heterogeneous graphs and ideally meeting centered...