2024/09/03 by Penghui Wang, Shan Wang, Wang, Penghui +1
Computer Science · Physics and Astronomy · #47C15 #81Q93 #81S25 #81V74 #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2409.01684
openalex publication_date 2024/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present paper, by using the relaxed transposition method[29], we solve the second-order adjoint equations, corresponding to the optimal control of quantum stochastic systems in fermion fields, which plays the fundamental roles in the study of the Pointryagin-type maximum principle in quantum stochastic optimal control. The second-order adjoint equation is a backard operator valued quantum stochastic differential equation, which has no definition in the algebra of bounded operators, and the solution derived from the relaxed transposition method makes sense in W*-topology.