Simulating Hamiltonian dynamics is one of the most fundamental and significant tasks for characterizing quantum materials. Recently, a series algorithms employing block encoding Hamiltonians have succeeded in providing efficient simulation time-evolution operators on computers. While time-independent can be simulated by eigenvalue transformation (QET) or singular value with optimal query comple...

We consider a time-optimal control problem for hybrid system of variable dimension. Continuous motion the alternates with discrete variations (switchings) at which dimension state space changes. The change states can occur if number objects changes, is typical, example, problems groups aircrafts. obtain sufficient conditions achievement all purposes by group objects. application optimality demo...

In this paper, a newsboy model is developed under uniformly distributed lead-time and demand that is an appropriate assumption in obtaining optimal relief inventory of humanitarian disasters. It is noteworthy that limited historical data are in hand on relief operations. Hence, analytical and approximate solutions for optimal relief order quan­tity were derived. The effect of lead-time uncertai...

hyperthyroidism is a common disease and one of the best methods for its treatment is radioiodine therapy. treatment with antithyroid drugs brings patients to euthyroidism before radioiodine therapy. antithyroid drugs should be discontinued before radioiodine therapy to increase thyroid uptake. the purpose of this study was to determine the optimal time of methimazole (mtz) discontinuation. one ...