2019/09/30 by Qing Gao, Guofeng Zhang, Gao, Qing +3 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Systems and Control (eess.SY) #cs.SY #eess.SY #electronic engineering #information engineering #math.OC #quant-ph
paper · pdf · doi:10.48550/arxiv.1909.13524
11 pages, 1 figure, submitted for publication. Comments are welcome
arxiv created 2019/09/30 · openalex publication_date 2019/09/30 · arxiv updated 2019/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This work extends the previous quantum projection filtering scheme in [Gao Q., Zhang G., & Petersen I. R. (2019). An exponential quantum projection filter for open quantum systems. Automatica, 99, 59-68.], by adding an optimality analysis result. A reformulation of the quantum projection filter is derived by minimizing the truncated Stratonovich stochastic Taylor expansion of the difference between the true quantum trajectory and its approximation on a lower-dimensional submanifold through quantum information geometric techniques. Simulation results for a qubit example demonstrate better approximation performance for the new quantum projection filter.