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Second order necessary conditions for quantum stochastic optimal control problems
Penghui Wang, Shan Wang
This paper aims to establish second order necessary conditions for optimal control in quantum stochastic systems. We employ a variational approach, analogous to methods in classica…
Quantum stochastic linear quadratic control theory: Closed-loop solvability
Wang Penghui, Wang Shan, Zhao Shengkai
In this paper, we investigate the closed-loop solvability of the quantum stochastic linear quadratic optimal control problem. We derive the Pontryagin maximum principle for the lin…
Optimal control of quantum stochastic systems in fermion fields: The Pontryagin-type maximum principle (II)
Penghui Wang, Shan Wang
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…
Optimal control of quantum system in fermion fields: Pontryagin-type maximum principle(I)
Penghui Wang, Shan Wang
In this paper, the Pontryagin-type maximum principle for optimal control of quantum stochastic systems in fermion fields is obtained. These systems have gained significant prominen…