We study discrete-time simulation schemes for stochastic Volterra equations, namely the Euler and Milstein schemes, corresponding Multilevel Monte-Carlo method. By using adapting some results from Zhang (2008), together with Garsia–Rodemich–Rumsey lemma, we obtain convergence rates of scheme under supremum norm. then apply these to approximate expectation functionals such equations by (Multilev...

Recent progress in the development of quantum technologies has enabled direct investigation dynamics increasingly complex many-body systems. This motivates study complexity classical algorithms for this problem order to benchmark simulators and delineate regime advantage. Here, we present approximating local observables nonlocal quantities such as Loschmidt echo, where evolution is governed by ...