2023/12/15 by Sohail R. Reddy, Reddy, Sohail
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Artificial intelligence #Bayesian probability #Computer science #FOS: Physical sciences #Identifiability #Machine learning #Master equation #Mathematical Physics (math-ph) #Mathematical optimization #Mathematics #Optimal control #Physics #Prior probability #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum dynamics #Quantum mechanics #Quantum process #Quantum state #Quantum system #Statistical physics
paper · pdf · doi:10.48550/arxiv.2312.10233
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/12/15 · openalex created_date 2023/12/20 · openalex updated_date 2026/08/01
Robust control of a quantum system is essential to utilize the current noisy quantum hardware to their full potential, such as quantum algorithms. To achieve such a goal, systematic search for an optimal control for any given experiment is essential. Design of optimal control pulses require accurate numerical models, and therefore, accurate characterization of the system parameters. We present an online, Bayesian approach for quantum characterization of qutrit systems which automatically and systematically identifies the optimal experiments that provide maximum information on the system parameters, thereby greatly reducing the number of experiments that need to be performed on the quantum testbed. Unlike most characterization protocols that provide point-estimates of the parameters, the proposed approach is able to estimate their probability distribution. The applicability of the Bayesian experimental design technique was demonstrated on test problems where each experiment was defined by a parameterized control pulse. In addition to this, we also presented an approach for iterative pulse extension which is robust under uncertainties in transition frequencies and coherence times, and shot noise, despite being initialized with wide uninformative priors. Furthermore, we provide a mathematical proof of the theoretical identifiability of the model parameters and present conditions on the quantum state under which the parameters are identifiable. The proof and conditions for identifiability are presented for both closed and open quantum systems using the Schroedinger equation and the Lindblad master equation respectively.