可行方向法的一个统一探讨

本文给出了一种一般理论,讨论非线性规划min{f(x)|Ax=b,x≥0}的某类可行方向方法的全局收敛性。在 f∈C~1和约束条件为非退化的假定下,提出了下降可行方向的一般模型以及一类可行方向算法,并且证明了这类算法在某些条件下是全局收敛的。这里验证了文献中常见的一些可行方向法都是这类算法的特例,并且也满足本文中提出的收敛性条件。最后构造出几种新的可行方向方法,它们都具有全局收敛性。     

Gatemon Qubit Based on a Thin InAs-Al Hybrid Nanowire

We study a gate-tunable superconducting qubit(gatemon) based on a thin InAs-Al hybrid nanowire.Using a gate voltage to control its Josephson energy,the gatemon can reach the strong coupling regime to a microwave cavity.In the dispersive regime,we extract the energy relaxation time T₁～0.56 μs and the dephasing time T₂*～0.38 μs.Since thin In As-Al nanowires can have fewer or single sub-band occupation and recent transport experiment shows the existence of nearly quantized zer...