Binary Control Pulse Optimization for Quantum Systems

Quantum control aims to manipulate quantum systems toward specific states or desired operations. Designing highly accurate and effective steps is vitally important various applications, including energy minimization circuit compilation. In this paper we focus on discrete binary problems apply different optimization algorithms techniques improve computational efficiency solution quality. Specifically, develop a generic model extend it in several ways. We introduce squared L2-penalty function handle additional side constraints, requirements such as allowing at most one be active. total variation (TV) regularizer reduce the number of switches control. modify popular gradient ascent pulse engineering (GRAPE) algorithm, new alternating direction method multipliers (ADMM) algorithm solve continuous relaxation penalized model, then rounding obtain solutions. propose modified trust-region further Our can high-quality results, demonstrated by numerical studies diverse examples.