2018/01/31 by Michael H. Goerz, Michael H Goerz, Kurt Jacobs
Computer Science · Physics and Astronomy · #Optimal control #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum state #Simple (philosophy) #Spectroscopy and Quantum Chemical Studies #State (computer science) #Subspace topology #Topology (electrical circuits) #Trajectory #quant-ph
paper · pdf · doi:10.1088/2058-9565/aace16
published as Quantum Sci. Technol. 3 045005 (2018) · 17 pages, 4 figures
openalex created_date 2018/01/26 · openalex publication_date 2018/06/21 · arxiv created 2018/08/20 · arxiv updated 2018/08/22 · openalex updated_date 2026/08/05
Abstract The wavefunction Monte-Carlo method, also referred to as the use of ‘quantum jump trajectories’, allows efficient simulation of open systems by independently tracking the evolution of many pure-state ‘trajectories’. This method is ideally suited to simulation by modern, highly parallel computers. Here we show that Krotov’s method of numerical optimal control, unlike others, can be modified in a simple way so that it becomes fully parallel in the pure states without losing its effectiveness. This provides a highly efficient method for finding optimal control protocols for open quantum systems and networks. We apply this method to the problem of generating entangled states in a network consisting of systems coupled in a unidirectional chain. We show that due to the existence of a dark state subspace in the network, nearly optimal control protocols can be found for this problem by using only a single pure-state trajectory in the optimization, further increasing the efficiency.